Hard to Fathom..

[The Saucepan Man]

Well, first off, the Dwarf Rings did not (that we know of) make their wearer invisible. In fact, the only ring of the Great Rings mentioned to have that ability was Sauron's own,

Is there any reason why the Seven Dwarf Rings should not confer invivibility on those who wore them, at least on those upon whom the Nine and the One conferred invisibility (ie Men and Hobbits at least)? I would tend to the view that they would in fact confer invisibility on a sutiable wearer for the simple reason that they were forged under Sauron's influence using the same craft as was used in the creation of the Nine and the One, and with much the same purpose in (Sauron's) mind.

We never hear of them conferring invisibility, but that may just be because they were borne only by Dwarves. And quite possibly Dwarves were immune to that aspect of the Rings' powers, in the same way that they were not susceptible to the power of the Rings to draw the bearer into the realm of shadow.

No, I can see no reason in principle why a Man or Hobbit wearing one of the Seven would not become invisible.