I’ll add though that if your gossip network is only giving you “overbearing/not” signal that’s petty weak tea. In my experience recent phd students of an advisor are typically happy to give an honest off-the-record take, that includes how driven you need to be, what to bring to meetings for them to be productive, etc etc. Each student will bring their own perspective and experiences, and may not be well connected to others’ (eg, a male student might not know that years ago his advisor’s last female student suffered harassment).
But ask a few of them and you’ll have a lot more data than you started with.
Also critical is to ask whoever is writing you a letter to begin with — especially if senior, they will often have useful perspective on potential advisors.
Simple, more relatable example: the professor whose class gets very bimodal reviews--amazing, learn a lot, or unfair, too hard, etc.
So these things are subjective and I worry in this climate doing things reputationally isn't the right approach. I prefer subordinates be empowered to push back against PIs and switch, at least have a level of freedom more similar to a regular job market where if someone is too awful, at least they won't be able to keep students and post-docs. I don't know how to accomplish this though, it's a very hard problem.