For the food/buffs stuff. Food and stat potions are not applied to pets when summoned, only your base stats and stats from gear are applied.
Rouse does not recalculate egi/fairy stats, Spur does but spur is smn exclusive. So if you wanted you could swap from crit to det gear or something when summoning Eos/Selene to have her focus on another stat if you wanted for whatever reason.