It is definitely an issue in my little village, although I don't profess to know about the rest of the SE.
2000 extra houses have been built on the outskirts of the village. Technically the next village is the closest schoo to that estate, however we live on a peninsula, so working parents have to drive 2 miles East, then back past their houses to the only road off - so naturally they all want to go to the village school, which is on their route to work.
This in turn has made the village school massively over subscribed, and means lots of children in the village itself, or on the Western outskirts, have been offered a place at another village to the west.
Unfortunately though, the only route to this village is through windy lanes with no pavement. No issue if you drive, but I know 3 women who don't drive (or whose husbands need the family vehicle to get to work earlier than school time) and have young babies who are absolutely stuffed.
The buses here go round every village, they come to our village, head eastwards, and come back to the western village last. It takes almost an hour, but the buses leave at 20 minutes past the hour, which means leaving at 7.20am, and hanging around outside school for half an hour.. Not so bad in summer but no fun on cold dark mornings with small babies and toddlers in tow.
I'm sure you can imagine how much resentment this has caused between people who have lived here for generations (not me) and people living in the new builds (also not me, although I do live in a new build it's not on the edge of the village)
Another horrific side effect is that were plans for a further 5000 houses, and the backlash was huge enough that it caused a by-election, and now we have a UKIP MP.