Hmmmm...
What does your Ed psych say about placement, barriers to learning and did they complete any cognitive testing?
My point is your child's primary area of need, at least superficially, seems to be about wellness to learn and non of the provision you have mentioned addresses that.
You say you know what a successful education looks like but I'm thinking much more broadly.
If academic is the main criteria it a simple fact No child with 50-60% attendance will keep up with their peers in either mainstream or SEN. With the best will in the world and a school that puts into place everything you are going to be working really hard to catch up anything missed. At 80%ish DS was struggling. There's a lot of people arguing ma can succeed, the best school in the world cannot succed if you are not there.
Yes you can do things to improve attendance which frankly is why the LEA are talking about Eotas.
The reason they are suggesting online is it because it offers a continuity of education whether your child can physically make it to school or not, is at home or hospital. Same tutors and continuity of routine which has huge benefits. That is assuming your child is physically still able to access schooling when ill and that that any time in hospital not to intense.
Tutors will work better if actually you have a child that has to drop everything when ill. Your child isn't missing learning because the tutor picks up the pieces whenever your child is ready again.
They can fit around extensive therapy provision and because they are working one-on-one with your child can tailor the learning to your child's level.
In both cases any assistive interventions (seating, laptop, touch typing, writing slope, wheelchiar) can be put into place without comment, therefore helping your child to access academics with less fatigue. Which you haven't mentioned l, explicitly but I would expect are in there as you mentioned equipment.
So what is a successful education? Is it one in which your child has best chance of keeping up with her peers? Is it one where they see their friends everyday? These are not necessarily the same education FOR YOUR CHILD.
Do bear in mind primary and secondary are very very different. What works in primary is not the same as what works in secondary. We know one to one is a fantastic intervention at primary.
I do worry in your case absence is actually the more superficial problem that maybe is masking other issues. It's easy with LEA professionals that they often fit what provision they can provide to the child as opposed to looking child out. In doing so they can spectacularly miss stuff.
Do consider if you can afford it getting private Ed psych and, in your case, OT. If the Ed psych is actually decent and does contain cognitive testing + dyslexia + dyscalcula, then is more economic just to get OT. Of course you are probably impossible to do this before transition now but if I was you I'd definitely consider it. If your reports are GOSH / evelina or another such centre of excellence, or the LEA has engaged private companies because the nhs therapy service lists are too great in your area, there's a higher chance that the above is tosh.