Should one remove the a prosthetic leg shoe attachment on entering a Japanese house?

Factual Questions
1

Or just the shoe on the real foot? (pre-emptive cock punch to anybody thinking of a “not a leg to stand on” wisecrack)

2

My guess would be that if removing the prosthetic leg’s shoe was not difficult that it should be removed. If it would mean a significant amount of bother, I imagine allowances would be made.

3

My wife and I both share the intuition (having lived in Japan for a year) that the prosthetic leg-shoe thing would be kept attached, but would have its shoe section wrapped with paper or cloth, or would have some kind of slipper slipped over it if possible.

Any Japanese or Japan-resident dopers share this intuition?

-FrL-

4

My wife just said she imagines that if someone recieved a prosthetic from a Japanese hospital, they the prosthetic will already have designed into it some means for taking care of this problem. Not sure what that means would be, though.

-FrL-