As to naming of trees, every published paper I have found so far that uses the term "rose tree" is consistent with the original definition from Meerten, who is the one who coined the name in the first place, to indicate a quite specialized tree that only has values at the tips, not the nodes.

It is only in Haskell-related literature that it is stated that rose tree is the same as multiway tree. Since there is a perfectly good name for multiway tree, I don't see why there would be any need to have another name for it - why not let the name "rose tree" be used for what it was originally intended.