I think a lot depends on the kid. While I wouldn’t let my kids dictate my life, I would consider and take their feelings into account.
My two are very different. Older S had 2 very close friends since K and a long time GF (in HS) None are around anymore and there’s nothing here for him at all. Moving wouldn’t have been a big deal at all.
Younger S (college fresh) has a large group of close friends who all hang out all the time. He wouldn’t have complained loudly had we moved, but I would know he would have been sad. And he would have likely stayed with friends at breaks.
That being said, if I was antsy to get out, I would stay through at least the first Xmas. Assess how younger S was doing in college. If it’s going well, over time, college friends and life start to dominate. I’d probably put my house on the market the summer after freshman year - just to make sure all is well and good.
As for us. We have been upfront that we will be moving out of the area as soon as it’s financially feasible (when I hit 55/30 years). But for us that’s not until younger S will be 26. My dilemma is when to put the house on the market. Houses generally don’t sell ever. A few around me have been selling lately, but they’ve been on/off the market for 10-15 years. My neighbor across the street is on year 3. So if I want to leave in 8 years, when do we try because you never know. I think we will wait until at least younger S has moved on his own. Most of the stuff in the house is the kids’ and I don’t want to pitch it until they’re established.