That's a good question. I wonder what other people think.
Is it bad form to play the clock in a drawn position?
It's a ten minute game. Time is a big factor. So flagging an opponent in such a rapid game seems legit.
Now flagging in a classic game in a truly drawn position may not be so great. Your "somewhat drawn" comment indicates that maybe this game was not a confidently assessed drawn game. If that is so, then accepting a draw in any time control would be unwarranted.
There's a contingent of people pressing for non mate game endings beyond what is usually accepted. The default is to play to the bitter end. Somewhat drawn is not the same as a calculated draw. Also there is skill level and the ability to play for stalemate. These things are absolutely legitimate even if an opposing player whines. If they blacklist you, all the better, Self correcting whiners in that case.
Will is most easily broken when a large task is accompanied by a small uncorrectable distraction. In this case the endgame is the large task and the whining for resignation is the small distraction. There is a duty to the game to keep the notion of requested resignation as unacceptably vile as it is in any other sport.
I just played a ten minute game with someone and they offered a draw in a somewhat drawn position.
They had two left minutes on the clock and I had four. I saw this as an advantage so I kept playing and ended up winning on time.
Game here:
https://www.chess.com/game/live/81099137239
They offered a draw around move 37.
Was that bad form on my part? I had to sacrifice a piece to avoid a draw and win on time.