Your post was too long, so i ditched reading it, and making my own statement
gg means good game,
there is no offensive side to any of those,
and if the loser dont say good game then hes a sore loser.
If the winner says gg there is nothing wrong with that
in my opinion you determinate in the end if it was a good game. It can sound nice when you both agree and rude if one or both disagree. Just a standard saying after the game no big deal. If you got more to say than gg bring it on 
Some add to this comment; if you play a game without chatting at all and you checkmating the opponent or vice a versa and just saying "gg" it can sound very cocky sometimes, not saying i never did it though. 
WOW! this is an existential situation i never thought about, instead of gg , i may say something like "thank you for spending time with me" (tyfstwm) just thinking outloud here (jtoh).
Most of the Live Chess games I play have no "chat" at all - at start or end.
I am not offended. I am only offended by offensive comments - not the lack of comments.
Go figure.
the problem with this kind of communication is that it is easy to misinterpret and think the worse of an innocent situation. I just disable chat.
I used to say gg just before i was about to win, eg when i see see a mating pattern. Now I don't because people get offended, but I get it all the time and it is hardly offensive.
I've gotten in some real fun brain busting positions and fought my way through, but on the tail end hung a piece or missed an obvious fork, but not been offended by gg.
A rose by any other name ...
This is all about perspective in my opinion. Some people play chess for fun and consider any competitive game a good game. Some people play chess for improvement, and if the game against you helps them improve or learn, its a good game to them. Some play positional, and if you direct the game to a tactical battle, to them its a good game. Ditto with tactical players in a positional game. Some don't know proper English (chess.com is world wide), and have been told that the proper way to conclude a game is with "gg", or "good game".
The possibilities are endless.
well, even if i lose a game, i still say 'gg'. if my opponent says it first, then i say 'thanks!"
Believe it or not, i first practised this with the computers in live chess which went 'good game!' in any game, whether won or lost.
haha, this sounds like the other gg post circulating right now... its just tennis players shaking at the end of a match... no biggie
Grits and Gumbo.
This is just like when you were a kid playing sports and the teams lined up after the game and shook hands, and saying "good game" as you go down the line. Of course, there were many "bite me's" and "loser!" in there.
Your post was too long, so i ditched reading it, and making my own statement
gg means good game,
there is no offensive side to any of those,
and if the loser dont say good game then hes a sore loser.
If the winner says gg there is nothing wrong with that
Um his post was really quite interesting, I suggest that you read it.
Your post was too long, so i ditched reading it, and making my own statement
gg means good game,
there is no offensive side to any of those,
and if the loser dont say good game then hes a sore loser.
If the winner says gg there is nothing wrong with that
Wow did i actually think that?!
If the winner says GG, hes bragging.. wow i was an idiot in november.
Ever get a "THANKS!" imediately after being suddenly checkmated? Now that's a bummer!
There's nothing wrong with the winner saying "gg" but he should make sure he won. I played a tournament cc game where my opponent typed "gg" to me after submitting his 33rd move, apparently thinking he had lured me into a forced mate sequence. On the 49th move the game finally drew by repetition, and then I won the second game. I didn't give him any grief over his misplaced comment-- I just thanked him for playing me and gave him a trophy for walking away with a half point from our two games.
Well..
I'm impressed by this conversation, I would have never thought it could get that complicated.
I admit my first temptation was to write something sarcastic about WuGambinoKillaBee's analysis, but then I had a second thought: when I write something at the end of the game, I generally intend to be polite and correct and caring about the other player's feelings, so I realized I really should take into account the meaning the recipient would attribute to my words, for the sake of my good deed...
But then again I focused the very point: I don't care a bit about the feelings of someone who is unable to get, and value, such a simple act of kindness, prefering to spend his time switching it into an alleged offense. Are you really getting mad because of me saying "gg"? ...excellent...
The first time we saw gg (after a scrabbles online game) my wife said aloud "what is gg"? After much deep thought I came to conclusion it stood for "giggle giggle" - a funny way of showing glee after winning. I found that cute.
Back in my young days, I remember the obligatory "hard luck" being uttered by the winner in a badminton game to the loser. Even if luck had nothing to do with the result.
In a well fought game here I usually say 'well played' irrespective of whether I lose or win. By this I only mean that at our level, we had a good fight. Good or not, is very subjective; it so much depends on what you expect from yourself. I may think I have played a brilliant game and print thousand copies of it, which Vishy Anand may not even like to use as a toilet paper.
It's a bit like an online handshake after a game. Usually the loser says it first to show his good sportmanship.
Alternatives:
Dreadful game! Why didn't you play Nf8???
You distracted me by playing so slowly, you stupid!
You could never beat me in a serious game; I was distracted.