Jug pets to stay when zoning.
This. Perhaps even remove the time restriction on jug-pets, it may be neccesary for this solution to work.
Whan I mean by this is, when warping out of abyssea, I see all my abyssea buffs wear 'before' the warp completes, so clearly they have something in place to detect zoning and perform an action just before actually zoning the character.
So if they can't implement a "keep the pet when zoning" feature, it'd be nice to see a "redeem the jug back into your inventory just-before zoning" feature. Things like void nms are frustrating when you have to call a pet, kill something, zone and lose that pet permanently / repeat 70 times.