D-pad membranes

[hippy dave]

Hello,
Is the d-pad membrane for a Famicom controller the same as for the NES controller?
I saw listings on AliExpress that had sets of membranes for both varieties, the select/start piece is visibly different, but the d-pad one looks similar.

Even more specifically, would anyone happen to know if it would fit the Hudson bee controller HC 62-4? I think it looks like the membrane matches the official controllers, but I haven't opened them up to compare.

Whole story is that I bought the Hudson controller from eBay, it was sold as used but working, but honestly most of the controls were barely responding. I opened it up, cleaned everything, scraped residue from the contacts and removed a few layers of general grime. Unfortunately one of the directional bumps on the d-pad membrane had split, and it came off when I was cleaning it. I managed to squeeze it into position while reassembling and it's actually working great for now, but I probably need to find a new membrane before it starts moving around. As mentioned, AliExpress have both NES and Famicom flavours, but I could get a NES set from eBay much quicker if the NES d-pad membrane is the same.