If laterals are good enough for travellers then they are good enough for schools. They are supposed to be highly reliable.
PCRs involve you getting into the process of handing over personal data to a third party. Lack of trust in the government and private companies is relevant here.
PCRs take too long to get a result and you are supposed to keep kids off school whilst waiting for a result. This isn't feasible for a lot of parents on the bread line. Its just not going to happen.
For some 'oh I've done a lateral flow' is a euphism for 'piss off. I'm not bothering to test'.
You are supposed to do a PCR for a new cough. Thats kind of problematic if you've got a kid who has had a cold/cough for the best part of a month or longer. How many times are they supposed to do PCRs rather than lateral flows?
Also if you've done a lateral flow on a young child and it was traumatic for both you and them, why would you wish to repeat the process just to tick boxes? Arguably its cruel and disproportion on children who will spend most of the winter with a dripping nose and cough of some description.
I have to say the lack of realism over lateral flows v pcrs is telling.
Ultimately, if lateral flows are highly effective thats better than relying completely on pcrs - you would get even less take up if it was just pcrs.
I have to say I have got very pissed off by the lateral flow evangelicals who seem to love shoving sticks up their nose not just once or twice a week, but once or twice a day (yes I know several - not in healthcare) and seem to think this is something we should all be aspiring to. Personally I find it troubling, a sign of being overly anxious, virtue signally nonsense and concerned about how much its costing to indulge this level of going over board for no reason.
I think we are starting to become almost over reliant on testing. Whilst also having other nuts official policies. For example sending kids back into school after a household member has tested positive - the whole thing is pissing in the wind given they don't seem to be testing positive until 4 days later anyway - by which time there is a fair chance they've already passed it on thus defeating the whole point of testing anyway!