If you can get it poron for prosthetics and orthopaedics is what I prefer to neoprene as it is designed to absorb shock in such applications and it doesn't compress over time as easy. I find it breathes a little better too where as neoprene gets sweaty I find. If you're using glue to bind layers as well as edge stitching then Ortec is the best for sticking it I find, I usually prime it with their PUR primer but ymmv without priming. There are different colours for different force spreading, impact resistance and cushioning. The red tends to be more comfort surface than impact resisting as it is very squishy, best bet if you can get it is check their charts for most suited to your needs or a similar poron equivalent maybe (I use the medium densities the most and buy in rolls but many places sell small pieces). Pity not in the UK or I'd send you some as I could post it cheap within the country.
Just my opinion and maybe not what you'd want but I guessed it was for abrasion protection from pushing the chair rather than full on wrist support. If it is just palm protection being overly thick maybe uncomfortable depending on the user. If it were me (wearing I mean, not making) I'd use as thin a stock as possible like 1mm vegtan goat or something very supple and add thicker kagaroo or bovine on the abrasion prone point. Maybe a thin layer or cushioning (neoprene, poron etc whatever you can get) on points likely to cause issues if left unpadded.
Apologies if I've missed the point and it is for wrist support, I'm thinking along lines of what most I know use them for which is palm protection when they travel around a lot and most don't have full chair handles so they do it all under own steam which is heavy on the palms at times.