Does Angel of Jubilation stop people from paying life for Lim-Dûl's Vault? My understanding is that it does not, since paying life is part of the resolution of the spell, but Magic the Gathering's rules never fail to surprise, so I figured I'd ask to make sure.
You are correct, it does not prevent the cost to repeat the effect of vault. Angel of Jubilation specifically stops you from paying life or sacrificing creatures as a cost of casting, this is not a cast. From the rulings on Angel of Jubilation:
Other things may still cause players to pay life or sacrifice creatures, such as a resolving spell or ability.
What would prevent this is something like Platinum Emperion.