I wish there was another "Rematch Non-Ranked" button

In some games, my opponent makes obvious blunders, as it happens to me and my opponents very frequently in 600 ELO . I am sending rematch after those games but they probably think I want to gain easy ELO by another game but I just want to have another match with more thought from both sides. What do you think? Of course I can add him to friends then invite but convenient way would be just adding another button under current Rematch button.

What do you think?

I think that most people who blunder terribly aren't in the best of moods.

There is no good way to approach them.

Many would take your proposal for an unrated game as an insult.

If I blunder terribly I usually accept rematch and I like that I get a second chance. But sometimes have no more time, or another game is already going on.