Found the internet!
I...don't think so. Not really...I believe it is figurative I think Renner knows Climb is a human but she relates his mannerism to a dog.
![User avatar](data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="256" height="256"><rect fill-opacity="0"/></svg>)
Thats probably the most harmless fetish of renner towrds climb anyway
Imagine: you're Ainz and at night you walk past Climb and Renner's room and from it you just hear a bunch of bonking and Renner screaming "Bark for me Climb, BARK FOR ME!" followed by barking noises in Climb's voice.
Imagine: You are anyone in Nazarick and you overhear Shalltear and Renner comparing notes over tea...
No, her view is from mannerisms, not physical features. She's more a dominatrix who has a preference for leashes, begging, etc. that has the sub act more 'pet-like'.
On this note, Renner seems to ascribe to pet play and wants Climb to act as her “pet” if you will. This is a bdsm thing and doesn’t involve either party thinking of themselves as actual animals usually. I’m sure some people do but most don’t.
![Silver](data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="32" height="32"><rect fill-opacity="0"/></svg>)
Denizens of Nazarick
Online