Even some of those that technically require such features should be allowed in certain circumstances.
Uncharted: Golden Abyss actually requires the camera. Apparently it's fully playable except for one brief moment where the camera is required to progress. So you actually need the handheld if you're to finish it. But much like how Super Mario 3D World allows alternate controllers to be used despite the gamepad's touch screen being necessary in 2 or 3 of its many levels (Granted, every Wii U owner is guaranteed of having what they need on-hand), they should enable it and just provide a warning.
Someone with a Vita handheld could enjoy 99% of Golden Abyss on their HDTV so there's no sense in preventing it when a simple acknowledgement on compatibility lists and the PSN store page for it would serve as a warning for those that only own a PSTV.
Better yet since we know many people don't read warnings, lock out purchases of such games from PSN from a PSTV and make it have to be purchased digitally from the handheld to ensure that the individual has the hardware on hand for the job. Then, they can only grab it on their PSTV via their download history.
Why Sony doesn't just patch the gimmicks out of the Vita's flagship (And that's all they are), I'll never understand. It's quite clear that this could be converted for full Dual Shock support without harming the experience in the slightest.