I don’t know for sure as I have not got a wheelchair but for what it’s worth this is my thoughts.
When I ordered a hoist for my current car Motability gave the AP for the car and also said / says, AP = £x,xxx plus lease of hoist = £290. I paid the AP plus the £290 on collection of the car.
Now it sounds like the hoist is actually being hired but its not because the hoist is mine and not part of the hire.
Although the cost of the hoist is subsides by Motability it is mine not there’s. I’ve removed the hoist from my car as I’ve made other arrangements for loading my scooter into the car and I’ve told Motability I’ve removed it and they were not the slightest bit worried.
So with that thought I would say the wheelchair is yours but not 100% on that.