That makes me think of that (wonderfully terrible) movie Next, with Nicolas Cage. Hadn't really considered Precognition giving that much lead time - sort of figured since it just improved your dodge and evasion a little it was more like a small fraction of a second. The only real problem I see that would cause is it would be a way to partly make up for dumping Perception and not equipping special goggles. The more abilities you make that cover for deficits in skills, stats, or gear, the more you homogenize the effective mechanics and move toward a One True Build scenario.
Dunno. Psi is so powerful it's a tough sell to try to buff anything
But on the other hand, anything to keep those frackin' Death Stalkers out of the player's face...
Running a 10 PER build with q150 Motion Detection NVGs and I still get ganked by Death Stalkers on Dominating. Its utterly enraging; I feel like I should have stuck to a super heavy metal armor build with 90%+ mechanical resist.
That being said, many things don't work the way the flavor text says it should, so I'm not expecting a buff to Precognition. Though its 25 Psi/Turn cost is not exactly trivial to keep it on either...
Now that I think about it, it should buff initiative too, if you're willing to pay the 25 psi upkeep.