Sheesh, so hostile. Seems to be a lot of that around here. Maybe it's me. Aaanyhoo, you say there are many directions to take PUP and ofc there are, I see them in two categories: The puppet is either something that exists and can be interacted with in some way (a "pet" though I use that word loosely) or pure aesthetics. Either way the puppet is the focus.
Given that we're talking about a pre-existing job that focuses entirely around controlling a puppet designing around the puppet being a mere aesthetic seems pointless. At that point it could be anything, why PUP? You could have a Sky Pirate with a parrot that mimics certain abilities. Even DRK has a thing that mimics its attacks. You could have a Mystic Knight or Illusionist that summons doubles or triples of itself for whatever purpose you want. If you're just looking at PUP and thinking, "Oh this idea is cool what if it was used that way instead," that's fine but it might not be a PUP anymore, are you trying to design a PUP or just whatever sort of job sounds cool while taking inspiration from PUP?
The other option then is to have something you can interact with which is a far stronger foundation from which to build and there are still a lot of ways it could go which is what I was thinking about. Whatever comes to mind when you think "pet" just throw it in the bin and consider all the ways in which you could interact with a puppet on the battlefield and what forms said puppet could take. That was my line of thought.
As for your inquiries though I'm sure they were rhetorical and hyperbolic: RDM and DNC hold up well in FFXIV for the limitations put on them in this game. Sage in this game is a Sage in name only which is fine, it wasn't designed around the idea of a Sage in previous FF titles it was designed around a weapon and had to be called something. Just like how ARR SMN was designed around a concept first and named later. And yes whips are fine, I'd love a job with a whip or chain or kusarigama though I do wonder if they would be melee or short-ranged or both, that'd be interesting.