Schools have criteria for bursaries because there are more applicants than bursaries.
For example, lots will say something like bursaries are awarded on a sliding scale based on income and families with an income above £80k are unlikely to qualify for anything.
Some will see £80k and say such families are rich and shouldn’t qualify. But the point is school has calculated that most with that income won’t be able to afford the full fees of perhaps £25k out of post tax income. Bursaries are there to help anyone who can’t afford the fees and that can include the very poor (who may get 100% remission plus extras for uniform and trips) to the well heeled middle class who also can’t afford it but might just qualify for much smaller help.
So if you qualify you qualify, in my view. Normally schools use standard bursary terms which say things like 2nd homes, significant home improvements, luxury holidays and significant savings are not compatible with receiving a bursary and people must expect to work if they can and release equity where possible. So it’s not just income and schools say they aren’t there to give bursaries so families can avoid fees and pay for luxurious life style choices. I think these policies are reasonable. The reality is though that most bursaries do go to the lower earning but well educated families - the hard pressed middle class rather than the working class or those from really deprived backgrounds.
If people are cheating the system, then that’s wrong - so hiding income or assets. Schools check paperwork but those really determined probably can hide their income and wealth.
But if people are honest, I have no problem with middle class professionals applying for bursaries and getting them if they qualify and if otherwise they couldn’t go. There can be jealousy or envy about bursaries which allow some families to access independent education and when those accessing it aren’t visibly really poor, sometimes others on similar incomes who don’t apply or have bursaries and independent Ed or those on slightly higher incomes who don’t qualify or decide they can’t afford it can feel its wrong that others have it.
Generally it’s unfair isn’t it that some children get to receive a £40k education and others one which costs the state £5k. Private education is inherently unfair and many aspects of it including bursaries make people cross or feel annoyed to think some children are having something theirs aren’t.