lamps in dos2 have the same description. however theres only one lamp with a genie in it.
It depends. So if there are multiple Genielocks, then everyone should also have their own oil lamp or another vessel that they have chosen. At least that's what I understand from this: http://dnd5e.wikidot.com/warlock:the-genie
With all the things you find, it would make sense to be able to give some of it more use, even as a Genie vessel.
