My opinion, these pets are a mini-game specific rewards. I don’t think they should be linked to a 200m skilling exp boost as traditional pets are ie. Fishing - Heron and Runecrafting - Rift Guardian.
On the other hand with wintertodt, I think k that works because that’s the only pet for the skill Firemaking.
This can be a dangerous path to go down as you could argue Slayer Bosses (Hydra, Cerb, Snole devil etc) should have 15x pet drop after 200m slayer.