Fatigue from listening using hearing aids or 'while deaf' has a name "concentration fatigue". There's a great article by Ian Noon in the Limping Chicken blogsite at
https://limpingchicken.com/2013/06/28/ian-noon-concentration-fatigue/Their highest commented post ever.
For those people struggling with the cost (fatigue) vs benefit (easier to talk with, sociability) I recommend breaks from hearing aid wearing. Anything from 5 min microbreaks to hide in a toilet cubicle with the hearing aids off through to actively building in down-time to your day; a time when family know you're "Having A Break" cos it is very tiring to listen through hearing aids all day.
Another Googleable term is "listening effort" basically hearing always takes some effort. Hearing people with working ears and cognitive processing do not use much listening effort most of the time (and get a shock when they do have to do it). Zoom Fatigue is basically hearing people realising video calls are harder to hear due to the variability of people's microphones and internet connections making the sound poorer than f2f. Deaf people whether using hearing aids or not (e.g. mildly deaf people) need to put in more listening effort to achieve the same or a poorer ability to follow speech. There is increasing work this past 10 years to measure listening effort and create ways to objectively measure this so that during hearing aid fittings the audiologist can objectively get the best possible outcome (least listening effort). Again, I suspect prelingually severely/profoundly deaf and later deafened people will have different issues with this cos cognitive wossnames. Anyway, nice rabbit hole of reading for anyone wanting to be nerdsniped by that.
While I know tinnitus is often better when hearing aids are worn (I'm actually the opposite, mine gets worse with too much hearing aid time or audio overload). That doesn't preclude short breaks or times each day you have a break if the brain is otherwise a bit overloaded.
As for group discussion, there are apps and gadgets which can help, but I don't think much can fully replace working ears and ability to do directional hearing and cocktail party effect. I know people who find benefit in using the streamer with their hearing aid, either clipped to themselves, someone else or on the table (watch beer spillages!) and you can buy specific table top mics which help. I can't comment on their usefulness as I'm prelingually deaf and too conductively deaf as well as deaf overall to get directionality so I find those features just mangle the sound unbearably for me, but that's unusual.
So yeah, TLDR: take breaks, even short breaks can really help. Hopefully families would be understanding of a regular and predictable break time, or extra breaks during increased listening effort situations.
Good luck my fellow deafies. It is very tiring out there!