My first chair via wheelchair services was a manual chair because, despite needing a powerchair and them agreeing that propelling a manual chair would do irreparable damage to my shoulders:
I wasn't using it in the house (I couldn't, it was too wide, too low and my house couldn't be adapted). Because my house is so small I was cruising round furniture (and falling a lot).
And I had to have a voucher because the NHS only offered two options for someone my size, a folding chair so heavy I could not self propel it at all and my DP couldn't push me in it, or an attendant pushed chair that he could push me in, but I'd never push myself in.
The voucher was for £400, because they're awarded on the price the chair would be procured for by the NHS. Not the price the chairs they offer would be sold to you, the general public for.
I had to purchase my own chair - nearly £3K. Because obviously I do not have the purchasing power and deals the NHS have.
5 years later it completely shagged my shoulders and no they won't get better, even if I'd had the surgery I should have had, they'd still not be ok for self propelling - and I qualified for a power chair - they are narrower (you sit over the wheels not between them) and I'd got my doorways widened (just two of them) to accomodate.
I had to wait over 18 months from referral back to WCS for various stupid reasons before I was seen and assessed as needing the chair I currently have - it has tilt in space and a swing away arm, but not the powered leg rests I am assessed as needing because ... my local trust do not do those. No matter what.
(My mates does, she's up North and her new chair took 9 weeks from referal to chair delivered, rises, tilts and powered legrests).
Motability options for chairs are extremely limited and the powerchairs/cars are an either/or thing. The manual chairs they offer are suitable for very few people and generally for brief trips (car to house/house to car) not full time use.
What you get varies from location to location - here (West Midlands) you need a chair for work/education or you will not get one. Needing to shop, socialise, get to appointments is not a valid part of the criteria. Yes, that means there are disabled people with a clinical need for a chair who do not have one and are housebound as a result.
Even once you get a chair, theres an odd assumption amongst the non-disabled, that this then resolves everything. It doesn't, for one thing the chair you get is highly unlikely to do ALL you need, the reality is you'd need several chairs to do the things most folks do. They also need maintaining and repairing, which if its an NHS chair is done for you but.. you could wait a week for a repair, then the chap turns up and he hasn't got the part he needs. Imagine a week, or two, unable to sit without pain, unable to go anywhere in your own home?!
The wrong chair is also sometimes (often!) worse than no chair at all - chairs are not all equal. Getting the wrong chair can cause absolute agony, can cause serious irreversible damage.
And before anyone thinks 'ah well this isn't my problem, I'm not disabled'.. you need to add 'yet' to the end of that thought. YOu're not disabled YET. Live long enough and you almost certainly will be.