Most Krapfits use Hunter 4 wheel alignment, so I can’t see why they can’t do it. Suggesting they can’t do it on cars with LKA will losse them business, given most cars have it.
However, I found this
What can I do if my wheel alignment is not right?
If there’s an issue with your wheel alignment, also known as ‘tracking’, call Kwik Fit on 0330 123 1531.
If it’s due to wear and tear
Kwik Fit will fix this at no extra cost.
If it’s your rear wheels
Kwik Fit cannot fix this. You’ll need to contact your dealer instead.
My advice would be to give Motability a ring and ask why your dealer is charging you. However, I believe you have fitted genuine/ aftermarket wheels amongst other stuff, which if Motability or Direct Line aren’t aware of, be careful you don’t dig yourself into a deeper hole!