It seems to me highly educated cims move in but slowly compared to uneducated cims.
You can do a test: when you have the building "Hadron Collider" ready, put it in your city. Every people became fast maxed in education and all your schools (elementary, high and university) are obsolete and no more do anything (0 students, because everyone go to Hadron Collider).
Well, at this point your city start growing very slow. It will be difficult to raise the population in a reasonable time. The demand bars go to almost 0, and you have a stable city, with population that almost stay around the number when you built the monument. Even if you zone a big bunch of new land, the growing will be really slow and eventually there is no buildings for long time.
Then turn off the Hadron Collider: then the behaviour suddenly change, reverting to the previous state. All the schools restart working and buildings will start to grow on new zoned lands (as long as other stuff is okay).
So, basically, the Hadron Collider will slow down the city grow, because of the highly educated citizens.
In the city I experimented this, with the Hadron Collider the statistics are crazy: almost 100% happiness, almost 100% education. Almost lot of industries suffering because they don't find appropriate workers.
On the other side, in this way you can have a city almost stable in their numbers (except landfills and dead bodies that can destry your city if you don't care to follow).
The test city has around 150k population.
Beware: when you build the Hadron Collider, you'll get an insane budget influx, because the whole map start leveling at max (in my test city, my budged jumped from around +8k to around +50k in a couple of ingame days), so when you turn off the monument, expect a big loss in your budged (not big as the previous increase tho).
I don't know if the Hadron Collider behaviour is a bug or it works as intended, but it makes a good test about education.