That is a nice piece of history. It should probably last a lifetime with proper care.I will try this. Sounds logical.
I bought the razor in an auction and had Karl from mainley razors restore it. He transformed the razor to better than new.
I liked the shape, the lines and that it said India steel on it.
View attachment 1638661
Maintaining it on balsa is probably a good idea. I would not worry about tape vs no tape. It should not make a difference.