There's a ton of fun tricks you can perform with Gaussian splatting!

You're right that you can intentionally under-construct your scenes. These can create a dream-like effect.

It's also possible to stylize your Gaussian splats to produce NPR effects. Check out David Lisser's amazing work: https://davidlisser.co.uk/Surface-Tension.

Additionally, you can intentionally introduce view-dependent ghosting artifacts. In other words, if you take images from a certain angle that contain an object, and remove that object for other views, it can produce a lenticular/holographic effect.