I am in St Albans @rainingsnoring
Here, listing prices are mainly driven by school catchments.
I have had an offer accepted on a house that needs work (redecorating/rewiring and nothing structural) and this year dropped out of catchment for an outstanding secondary school.
On Rightmove I can see another project house that is 200 metres down the road and firmly in catchment. It is a few hundred sq ft larger and listed for more than 300k more than I will be paying for my prospective new house (I don't need the catchment).
I can't say what this in-catchment house would cost to renovate, but I could imagine given its size that one could spend 200k. My next house would, I believe, cost 50k to do up nicely because it doesn't need any structural alterations but needs rewiring, new carpets, new boiler kitchen cabinets resprayed, tiles replaced, and probably one new bathroom.
So the in-catchment reno project, which has a less modern layout, might cost in total 450k more than mine.
But once you compare this to the cost of putting 3 kids through private school (families who do not secure the outstanding school often go private), it starts to make sense. At least part of that gigantic sum of money would be added to the value of the house instead of fully being sunk into school fees. When the children leave school the house could also be rented at a huge premium - vs what mine would fetch - to families hoping to get into the school.
So I see why people do it and why there is very little discount for renovation projects around here if the school credentials are excellent.