Going to have to give you some clarifications here.
Lightning Puppy also affects Windfury damage, while still mostly inconsequential, its there and could be very meaningful if Forceful Winds gets buffed. Also the Lightning Puppy buffs are multiplicative, so if you get 2 of them its an 82% damage increase to the abilities, not 70%.
Fire Puppy is the 35% Lava Lash dot AND 20% all Fire damage. So its buffing Flame Shock, Fire Nova, Sundering, Elemental Blast, and Flametongue as well. With the Fire damage and the dot, Lava Lash is getting a 62% damage buff from 1 puppy.
Main problem is the baseline weakness of Lava Lash. With about 50% mastery and Hot Hand up Lava Lash will do similar damage to a Stormbringer Stormstrike.
Now that the clarifications are over. Yes, they do need to follow through and iterate on Elemental Spirits, especially since they also buffed Ascendance.
It would be nice if each of the dogs had a kind of baseline extra damage they give similar to the current Frost Puppy, but with different flavors. Like have the fire puppies proc be a stacking dot, and the lightning puppy cause a delayed burst after 5 seconds where additional applications increase the damage but not reset the duration.
Then the Lightning puppies need to affect affect Crash Lightning with the 35% damage buff. Then it also needs to have some effect on LB, CL, and EB, maybe increase their damage by a smaller amount, but also cause them to refund 1 or 2 maelstrom per puppy.
For the Frost Puppies, since there are fewer frost abilities, maybe increase all frost damage by like 40% including the Icy Edge damage proc they currently have. And an additional effect that increases the slow of Frost Shock by say 15% per puppy so its an 80% slow with 2 puppies.