Most people seem to have missed a point that poverty isn't just about the money, it's the entire situation it creates.
Children in the situation, while they may have access to the same education as a child not in poverty their home situation will be significantly different. It's difficult to study and concentrate when you're hungry and cold. You live in a rougher area so you can't go out and play and by educated through experiences because your mum can't afford the bus fare to visit your local museum or she has to work and granny isn't well enough to take you. There was loud car noises during the night and someone banging on your neighbours door at 6am so you haven't slept well. You've also skipped breakfast because there's no bread or the electric is off again. You can't afford to heat the house so your clothes are only semi dry and smell a bit musty and you know the other children can smell it a d it only takes one to start picking on you. You know your one hot meal today will be your school lunch because the situation at home won't have changed while you're at school. You'll go to bed hungry, cold and damp despite your mum trying her hardest to make it a nice place to live with all the food you need but she's been sanctioned again because she couldn't find suitable child care for the evening job they insisted she applied for or the fridge broke last month and she's taken out a loan for it or your landlord doesn't care because there will always be another tennant. School becomes the least of your worries when there's so much going on at home.
These children already put up with enough. During my entire time at secondary school (2004-09) I was forced to collected my fsm token from a lady waiting outside the library to tick of your name each day. It was embarrassing, everyone knew what you were doing and there'd be a line of kids, you could tell which ones were is desperate need and those for which they were just helpful. It singled you out as different, other, from your classmates. Things might be more discreet now but I'm betting everyone still knows. They didn't even buy you much, a sandwich and a drink. That's all the value of them got you, they wouldn't even get you and entire hot meal at my school, you'd have to choose an aspect of it.
No one wants to be in the situation of living in a cold, damp house in a crappy area but poverty removes your options. It shouldn't be a race to the bottom, "well I've got it worse than you and I'm in work". How we take care of the most vulnerable is society is a direct reflection of that society and the UK isn't doing well on anything from mental and physical health to poverty and homelessness.
Regarding the Basic Universal Income - the more disposable income people have the better it is for the economy. We could start funding this simply my enforcing the tax that large corporations such as Amazon, Costa and Starbucks are all supposed to pay in the UK and ensuring businesses are correctly registered in the UK for tax purposes and not purposefully evading it (like the recent move by Asda) by moving it the Jersey.
While I may have 2 degrees I didn't get there just through hard work, there was years of support and input from friends and family that built the foundations for me to succeed. I needed help with homework, support in making my educational decisions, the push to go to university and to do the degree I wanted at the university I desired. Not everyone has that support system or the space/capacity to study. I had a good job for a while but the field I'm in was badly hit by covid and they didn't renew contracts, I'm now back in my student job in a supermarket and would still be willing to pay more of my pay in tax.
This is a super long post but it's after 2am and I realised I was getting angrier about the true lack of empathy and understanding shown by many posters of here about the situations these CHILDREN face. I hope this helps to get it across.