it is a definite concern as PPs have said. However overall I think it's still very very unlikely
The Porton Down / Oxford report on the LFT tests report a 1 in 250 false positive rate outside of the lab (so in a school or at home), with around 25 weeks left in the school year, that means each kid taking 2 a week will test 50 times.
That means the chance that an individual will get a false positive is possibly 50/250 or 20% of all kids will and therefore need to isolate.
We don't actually know that all the tests are independent, it could be that they're not and having a previous false positive increases your chance, if they're not independent then for some kids it will be much higher than 20%.
There's also some doubt on the PHE data itself and the false positive rate may be different, but that is the best evidence available today.