That is strange, because I actually did use an elemental summon like you did and it worked just fine. I'm not a fan of that encounter for how awkward and specific a challenge it is. It feels too easy to just end up out of luck and stuck in there.
Huh! Weird ...
... the elementals I summon don't have the option to interact with the lamp. Or did you summon the elemental from inside the lamp, like I did the cambion? That does work, I just decided to use the cambion for that experiment given I felt less bad about abandoning it in the lamp!
Personally, I am still a fan of this little side quest, but would like it more if there were alternative ways of solving it so there would be less chance of getting stuck.
Get your summons to drag and drop the lamp. Or you could throw it I guess. That will activate the switching places.
