Correct, the perspective effect exists in Clickteam, as I mentioned above.
From all of the discussion around the games: Scott Cawthon didn’t use that effect for FNAF 1, did use it for FNAF 2, and did something completely different in FNAF 3 than he did in FNAF 1 or 2 (specifics are unknown for 3 and onwards)
Whether you agree with the above or not isn’t really relevant to the conversation, however.
As far as your question, unfortunately, the only panoramic/cylindrical l displacement map I know of is linked above. If someone has one I’m sure it’d be helpful for the community if they were to post it.
I’ve given this some thought recently, and wonder if you could also accommodate this with a BulgePinch filter set to negative strength.
Edit: Interestingly, this developer creates a grayscale distortion map that does nearly exactly what you’d want for this. I imagine if you can create a similar distortion map (maybe with the center of the sides being more squared rather than circular), it would get the effect you’re looking for. https://youtu.be/mrSRESnKRCU?t=3250
He’s applying the distortion map directly in PixiJS, which is what GDevelop 5 does (PixiJS being the rendered GD5 uses)