So, the squats actually looked better to me in the squat shoes until you lost your balance.
They were deeper.
Falling backwards in lifting shoes is something I’ve seen many times with people that aren’t used to them.
You are correct stating that you haven’t given them enough time.
However, use the ones you feel most comfortable with for the major work.
Maybe try incorporating them into Front Squats and accessory lifts before using for your main movement to learn the groove.