Who skipped?

[Puss_in_Boots]

I believe your rationale comes from the belief that the playerbase will be divided once it becomes easier to identify an individual you simply don't want to play with.

In reality the playerbase is already in divide because while it is simple to identify and avoid players who make you wait too long (skip, kick and ban), there is only rationale to avoid the ones who won't wait for you or others.
There are settings to make the wait shorter (timer for turns), but none to provide leniency.

Acknowledging that split, and applying the solution(s) (there is quite a few to choose from) would be the better course of action in my opinion.