There is no point in lobbying anyone with regard to "recognising" neuropathy as a disability. PIP Mobility payment is solely based on the ability to walk, with or without walking aids. It doesn't matter what is causing the disability, or what conditions are combining to cause the disability. If you can walk, with or without aids more than 10 yards then you will not qualify for the higher rate. If you can walk more than 50 yards, you will not receive the mobility award at all. It is as simple as that.
I know this because I have a purely motor neuropathy which has caused significant leg muscle weakness. I can walk more than ten yards with a stick for support, but for longer distances I have to use a wheelchair. I do not qualify for the higher rate mobility award, but receive the lower rate. Only the higher rate can be converted for use as a motability car lease. That doesn't prevent me from getting a "blue badge", though.
It is this specification of walking distance, that was not present in the old DLA rules, that has caused problems for people renewing their motability lease, and in converting from DLA mobility allowance to PIP. The people who park their motability cars in the disabled spaces, then push their shopping trolley round Tesco are the main ones affected by this change, but there are people like me with quite severe walking impairment who now can't get the higher rate. This is an example of the government's push to target benefit payments on the really needy - that's what they say- but it's really to save money by making the rules so strict that the amount paid out is reduced without care for the disabled.
But as I said, it doesn't matter what the diagnosis is, it's how it affects your walking ability. I've got neuropathy, but the DWP don't care, they just want to know if I can walk or not.