As others have said, you all as a family may be able to get through this in the way you’ve described for a short time, but after a while it will become apparent that their life is just more chaotic and less pleasant without you doing what you’ve been doing.
They’ll grow out of clothes and end up wearing things which are too tight around the waist because no-one has really kept a close eye on whether it’s fitting them properly. They’ll wear their winter coat for too long into the warm weather because they’d outgrown their summer one last year and it was given to charity and no-one has thought about buying a new one.
One of their shoes has a hole RIGHT THROUGH the sole because no-one has been cleaning them regularly to notice and you just thought they were whingeing about their sock feeling wet when it rains because you didn’t have time to really listen to them properly.
Or their toothbrush bristles will be splayed and ineffective. Plus the gaps between dentist checkups have got a bit longer than they used to be so that when they do go there is an issue with tartare build up.
They won’t have the money for no uniform day because they forgot about it, even though they remembered to wear their own clothes. Which look odd, because they don’t go together because they’ve had to just put on whatever they could find that was clean and ironed rather than what would have looked nicest.
They will stop asking for play dates because you’ve had to say no, it’s not possible, sorry, too many times. When they DO manage to have someone round they can’t really kick a ball about in the garden because the grass has got too long and whenever they have to retrieve the ball from the borders they come out scratched because some brambles have grown out of hand.
You’ll start noticing they are getting a bit overweight because they’ve been eating too many ready meals or junk and you haven’t been able to take them out to the park to run around.
On more than one occasion you’ve had to send them to school containing a sandwich made from slightly stale bread because you were too busy to run out to get a new loaf (and the nice bread maker-made bread stopped being made months ago)
etc etc etc
These are all things that have happened in my house, not because I have been an incapacitated SAHM for a length of time but because I work full time, DH works long hours and I just can’t keep all the plates spinning anymore and many have dropped and the ones left have chips on (in both senses of the word. Probably oven chips 😆)
Life is just less pleasant all round when certain things just stop getting done, or done in a haphazard way. WHATEVER the reason. Short term it isn’t too noticeable but when it becomes the norm then yes, life becomes just that little bit less enjoyable all round. The kids will get to an age when the lack of choice over what is available for them to wear stresses them out. Or be too embarrassed to invite friends back after school because the place is a tip. Etc etc.
So, OP, you have been contributing to the smooth running of everything all these years which has enabled a more pleasant day to day life for everyone, even if they don’t realise it. Looked at individually all these things may seem trivial (like, does it really matter that you have fish fingers instead of salmon parcels?) but it’s the sum of the parts that matters. And anyway, when you’ve had a bad day, the weather is atrocious, you’ve just had some bad news about a friend, one of the kids are sad that they didn’t get picked for the team, your other half is stressed about a work deadline, you all sitting down together to salmon parcels instead of fish fingers, looking out on a well-kept garden with some lovely spring flowers out, just cheers you all up that little bit just to make a difference to your day.
I am 50 now and looking forward to a few years time to a less frenetic pace of day to day life when I CAN find time to keep the house and garden to the standard I prefer it. And cook nice meals every day. Or just a snack if I want. Buy some plants from the garden centre and actually put them in the ground instead of them slowly dying in their pot because I haven’t had time to clear the weeds to find a space for them.
i hope you recover fully soon and get your life back to how you want it to be.