Basically a stronger hide state you have to manually leave before acting from, maybe cannot even sneak out of it before exiting. It could also give hide more utility for characters not built to purpose for it, and giving characters a defensive way to hide from attackers in place might even encourage less everyone scattering to the wind when something kicks off. Hide behind the bar, hide behind cars in the street, taking cover in general all things that players will pose about but can't really do in practice.
However my feeling is new stealth features are kind of a pipe dream.
I actually really like this idea, it would be very consistent with other mechanics too.
Any kind of improvements on this (easily thwarted) skill would make me very happy, this idea I really love too let me dive behind dumpsters and into random vents or bushes damnit.