You have an option to choose how many mix you do, or can do infinity until you stop.

You also have control over each wallet for the phase. Pre mix, mix, post. I have them all loaded in electrum to monitor.

I've had coins get stuck before and easily recovered because of this key control.

Tbf, I haven't played enough with Wasabi, but mainly because I thought there was a central service in the mixing phase where you lost control of keys.