It's not that difficult to understand - there has to be a balance struck - the relative convenience of short car journeys made such that people will be persuaded to change behaviours, but not made so inconvenient that it becomes completely unreasonable for those who genuinely do need to use a car. And if there's not a system to exempt blue badge holders, then that obviously has some impact on what can be called reasonable.
As for privilege - it's great if the motability scheme can provide some disabled people mobility and independence - a good solution for those for whom it can work - but let's not pretend that this is a solution for all or most people with a disability.
If we are talking about mobility, then someone who has a disability which does not prevent them from driving a car (whether it's bought independently or provided via motability) does have a privilege over someone whose disability does not allow them to drive, and who does not have someone to drive them. They have to rely on public transport, walking, or other services.
If a livable neighbourhood scheme means that someone with a disability and a car can get everywhere they want to, but some journeys they make take a bit longer than they used to, then I think that's OK if it allows other people, with a whole range of disabilities that either don't allow them to drive or don't qualify them for things like the motability scheme, to have more freedom to do stuff like make independent trips to the local shops and other places.
If a scheme can be devised such that blue badge holders are exempt then that seems like the ideal solution, which is why I said above that I'd likely support it.