Aside from what you mentioned...
Theoretically:
-Less understeer / more front end grip
-Potentially less front responsiveness (really depends on the tire, but it will feel different)
-Change in chassis dynamics
I'm in it for more grip. 305/30-19 squar, will go bigger square when I sort out the best way.
You can tune some of the chassis behavior with suspension tweaks (height, compression/rebound, spring rate, adjustable / different size antisway bars)
Mine was square to begin with, 285's on the 1LE, but with more stretch in the rear so not exactly square behavior.
IMO if you're a corner carver / road course person - these cars really need as much tire as you can fit. 325's would be nice all around