My GSP comes out & stays out when the lights come on & the MP10s start revving up in the mornings.
If it doesn't want to come out...maybe it doesn't like the light & water flow where you moved it to.
I agree that they are SUPER HARDY corals. I recommend you keep it secluded to the sand bed unless you want it to take over every LR that it comes in contact with.
Please update....is it doing better now? A picture would be nice