YABU. We chose where we lived based on many factors, none of which was the school catchment. Our first child wasn't even born at the time. We based on things like the doctor, park, decent sized grocery store plus several independent food shops were all within walking distance. We were renting at the time and a year later we bought in the same area because we liked it so much and were making many friends locally. Yes, it does have a good school, but at the time we didn't know that.
We could have moved to the next town 10 minutes down the road where we would have certainly been able to buy a bigger house for the money, but it wasn't about a poorer school, it was not as good a neighbourhood as the village were we live.
However, even if we had bought in the cheaper town instead of where we did in our village, it would have saved us around £40,000 on the price of a house. Let's be generous and say even £50,000. Looking at the website of one of the local private schools, the school fees alone for Reception would have been just under £9000. That goes up to £12,000 for Years 5 and 6. So with 2 children, by the end of primary school, we would have paid just on school fees alone (based on this year's fees, not increases) over £125,000.
So to say that we moved to somewhere because of it's school and that's comparable to paying for private is 1. untrue because our decision wasn't based on that and 2. private school is still a hell of a lot more expensive than a living in the "best" school catchment. Plus living somewhere nice offers more than just a good school, it's a quality of life thing for the whole family, not just possibly (and only possibly) better education for the kids.