Yes. They will be more likely to be paired with other bad sports. If you believe someone acts poorly though, it's best to report and block
What's the purpose of the "Good Sport" thumbs up or down?

What they will be looking for are outlying cases where individuals have far more than one would expect by random chance.
So many poor loser that are defeated and refuse to resign, instead not making a move and letting time finally elapse. This happens no matter how much time they have let.
What's the purpose of the question whether they were a good or poor sport? Does it actually do something if someone gets enough thumbs downs?