It always will take anything called "Essence of Health" in your inventory. Tanks just need to either dump all of their tripots in the bank before turning it in (which is what I do). It's like that with all potions - as long as the name matches, it'll take it no matter what secondary effects you have (that's also why Blessed Thistle/Dragonthorn pots won't count for the stam writ since they have Weapon Power as a secondary effect, and that's a higher priority effect so it'll count as a weapon pot instead)

It would be nice if crafted tripots did get a different name as "Essence of Restoration" or something, but that's external to the system. As it is now, there's just a list of effects and the potion gets the name and icon of the highest priority effect.