wanted to answer a few of the points you made @Mummyk13 tho I don;t know if you will take my views on board.
people work and don’t have time to put that into a pta and they shouldn’t have to the teachers should be doing that already in an ideal world
The P in PTA stands for parents. Parents do volunteer their time - even those who work. Maybe you would not be keen but some people do want to help and support. Most PTAs IME do have teachers involved, but blimey - they really have enough to do tbh. And input from parents is key and useful tbf.
more privileged areas get more funding which pays more
AFAIK this is not the case. Schools with a high number of PP pupils will get funding for those pupils. Not sure if that is what you mean - but tbh those schools are less likely to be in wealthier areas, obviously.
Would not really mean less traffic if you go to a local school working parents will always have to drive to drop and get to work course more traffic as two places to drop off
It isn't true that working parents will always have to drive to drop off. We always walked our DC to school (we tag teamed it) and both worked full time. Most other families I knew had both parents or a single parent working by the time the DC were at school. The vast majority of them walked their kids to school. We live in a residential area and our nearest primary is about 7 minutes' walk from our house, and lots of ppl live nearer. It would genuinely take longer to get the kids in the car, drive to where you could park (at the bottom of our road most likely!), and walk to school than it would just to set off and walk there.
Now more than ever many people have flexible options wrt work - wfh, flexible start and finish times, remote working from satellite offices. The place DH and I worked when our DC were first at school is now fully remote, no office at all.
Obviously if you live in a rural area then it's a different tale - I infer you do OP as your nearest schools seem to be around two miles away. Even then I would be tempted to park a few streets away and walk the last/first bit - it's amazing how it calms down a child to have a bit of a walk and talk at the start and end of the day.
OP I am genuinely not seeking to bash you - but I do think you need to understand a bit about how all this works, or you will have a long tough road ahead. I'm sorry you didn't get the school you preferred, but you may well get a WL place. Wishing your DD all the best.