YANBU.
DS(10) in year 6, is severely dyslexic. School work is really difficult for him. Imagine spending all day doing something that didn't come naturally to you, that you disliked doing, that even when you try twice as hard as everyone else, you find it harder than everyone else. Imagine nearly always coming last in everything. That's what it's like for DS. And then to come home and do more of it?? Like you, I think he deserves a break.
So yes, I do support him. We do all homework together, which still takes him twice as long as everyone else. I do meet with the SENCO and his teacher, we work as a team. In our last meeting, I told them there was just no point in him doing the SATS spelling workbook because it just makes no sense to him, and they agreed to let him drop that piece of homework.
So, when it comes to reading...I have tried being strict and getting him to read 10-20 mins a day...and realising how much he hates it and how counter productive that is. If a child is extremely tired AND hates the activity, they are not really going to be learning very much.
So I've learnt to work with him. He likes comics. So I give him a choice. For reading time, he can either look at comics by himself, listen to an audio story or read comics with me sitting beside him. No time limit, except that he stops when he gets tired. Well surprise surprise...he normally chooses to read comics with me and goes over the 20 min mark! He then listens to an audio book at bed time anyway - that way he can enjoy a story without struggling.
DS also used to have meltdowns re homework. I learnt that instead of responding negatively to his meltdown, it was better when I would just see it as him venting. I would agree with him. "Yes, that's tough, you work so hard at school, and when you come home you just want to relax. I get you. But what can we do? If you don't do your homework, you'll have to stay in at break time. Shall we just get it over and done with?" I also found that by giving him some amount of control - i.e. what time to do the homework, where, choice of snack etc. it really helped. I would then go into school to speak to the SENCO and get their support if it got really bad We would talk together, with DS, to reach an agreement. Thankfully he doesn't have the meltdowns anymore.
Re his processing condition, I did a lot of research on dyslexia so that I understood him more, and when I spoke to DS' teacher, I was able to negotiate better. He even had a teacher that didn't believe dyslexia was a thing, he was hard work! But I persisted, no, he's not lazy, he just can't process letters in the same way, just like you'd have problems reading hieroglyphics. I've always found it better to speak with the SENCO and the teacher at the same time anyway. At parent's evening the SENCO is normally present in my case.
Sorry for long post, hope it makes sense, I'm very tired!