Nah. It's only a 2500 engine. OK it's really convenient and quick and certainly picks up any tactical shots that were missed, but hardly a reason to go premium. Chess Mentor, the videos, and the newly improved (over at V3)Tactics Trainer make diamond well worth the bucks for me, but then I'm retired with a lot of time on my hands.
Is the Chess Analysis in Premium Membership Any Good?

It does tell it to you straight though.
(-Mat03) BLUNDER - Sad! You were winning and now you are facing an unavoidable checkmate. Your best continuation was 29. Qe6

using engine to analyse a game is useless.
U need explanations, not variations, an engine will never replace a human being for that.
Maybe at some level it can be useful but not yours.

I use Lucas chess to analyze my games. Lucas allows you to run through whole variations for each candidate move and this gives you some idea as to what is going on. Not everyone can afford a coach so this is the next best thing.

The analysis seems to be mostly one sided. There is some commentary about your opponent, but not enough. I already know my incorrect moves. I'd like to know more about my opponents play.

The chess.com computer is not very reliable. Its horizon is very short and it lacks tablebases so it plays the endgame particularly badly.
I had a game where I could either trade queens into a two pawn up endgame that was a trivial win, or take a third pawn and make about 10 perfect defense moves in a row to keep from being mated. No strong human player would take the pawn (in fact my opponent resigned as soon as I took the queen) but the chess.com computer classes trading queens as a blunder. Part of this is horizon: trading queens leads rapidly to a queen-up endgame, but not within the thing's horizon. (Stockfish gets this one right.)
You can get Stockfish for free. The only advantage of the chess.com engine is that it's only one click to get the analysis--I do it out of curiosity but if I seriously want to analyze the game I fire up Stockfish.
I see a "Game Analysis" thingy that is for premium members only at Chess.com. I'm wondering what it offers and if it differs from traditional chess engines like Stockfish, Fritz, etc.?
An example or screen shot would be cool to see.
That would be the feature I'd be most interested in if I were to want to do a premium membership. Just seeing if it's worth it.
Thanks!