I think most people men and women do gain wisdom and patience over time. Now maturity could be a different matter.
If I ever find someone I would prefer to relocate to her for a couple reasons. One, I would think the lady would feel vulnerable moving to an unknown place with a unknown person. Two, A)It wouldn’t disrupt my life much to up and move. I’m retired Military and have been moving every 3-4 years my whole life. B) If things didn’t work out it would be real easy for me to up and leave leaving her to the life she is used to living without any disruptions. I could easy rent out my house and keep it as a rental. I know the rental business real good so that wouldn’t bother me.
Relocating to her doesn’t necessarily mean moving in with her, it could or it could mean getting a place close to her so we can date and see where it goes. If guys just want to move in with you or have you move to them that could be a red flag.