Yes, I agree.
Oth if they are going to be wall hangers and not used why bother to sharpen them to shave ready? If that is the case just clean them up by hand without the use of power tools. The "sharpening skin" is likely a strop the main purpose of which is not really to sharpen but to burnish/realign the edge after use. You would need a set of hones to sharpen and correct faults with those razors edges. That is probably better left to pro who know what they are doing and likely cheaper than buying a full set of hones to do it yourself.
You can find some useful info here
Straight Razor Place Library - Straight Razor Place Library on the use and repair of straight razors.
Bob