If I’m understanding your question correctly… yes. I have the Temple Troll in my Momento Mile museum. I have not yet tried sandbox as I’ve been slowing down my campaign trying to get as many pristine exhibits as I have the patience to grind for.
It might be a bit hard to see in this image, but the troll is near the toilets; you can see on the right that I’ve collapsed the curator and 5-star objective boxes.
Some other players told me they get the Temple Troll when they play the sandbox. But I have built a very huge museum in Memento Mile and I don't want to play from zero in sandbox again. So is there anyway to get Temple Troll in campaign?
Secondly I found that the shiny objective may be wrong. It says"the Troll Grab Game" instead of "Temple Troll"