Old Lakainu always been a loyal Red ''Dog'' who hated the Government's enemies for years, unlike the clowns believes, Lakainu doesn't hate Pirates. Since he was the one wanting Warlord Pirates to still exist against Fujitora, Red dog also killed civilians and children on Ohara for the Government.
Then also kills a Marine soldier who was begging for his family.
Now the clowns are saying he will do a 180 turn and go up against the Government after all the things he has done
If Lizaru finally go up against the Government, then there is a little chance Lakainu finally will stop being a bitch of Celestials as well.
Oda chose Momotaro Trio; Dog - Monkey - Pheasant as original Admiral trio.
Pheasant already turned against the Government.
Maybe Monkey and ''Dog'' will do the same?
Either way Red Dog still will be someone's dog again, you can't change his dog nature, he will need another master.
Since the clowns were thinking Aokiji wasn't underling, they were wrong. Dog will be a dog either way.