DPS is the job of DPS.

[akaneakki]

Technically, you are obliged to nothing. And, if SE actually monitored votekick, kicking someone because you want a faster run would be considered abusive.
Queuing with random means accepting everyone, or leaving by yourself if they doesn't meet your criteria.

I don't think in this case it's about wanting a faster run, it's more about HOW MUCH they actually give a damn. If someone plays like they are half AFK or like a bot, they do get kicked. It's that simple.