With BA merits, and relic +2 hands rabbits are by far the best all purpose pets imo. Having the flexibility to AOE heal itself, and your party is a massive win for low man situations where people are /dnc instead of bringing a healer.
Crowd control is simple with Whirl Claws, and it does better aoe damage than a lot of pets single target tp moves. Foot kick is also very high on the damage scale for single target pet attack.
When you combine all of that flexibility with how dirt cheap the mats are to cook rabbit jugs the rabbit easily becomes the best all purpose jug post TH nerf. If somewhere down the road when this TH pet gear is introduced Yuly, and Falcor could end up at one level of TH higher than the rest. Until then I would stick to rabbits unless a specific jug is needed for killer effects or elemental resistance.