I seriously doubt a 5.5" - 6" Note 3 is getting Samsung worried about the aesthetics of the HTC One. It will follow design cues from SGS4, simples.
If a rumor sounds like BS, smells like BS..... The chances are .....
Normally I'd be inclined to agree with you except the original rumor comes from Sam Mobile who has a remarkably good track record. When it comes to Samsung rumors, they're almost never wrong.