You need to find out how much press fit on the outer ring the manufacturer of the bearing recommends. The bearing ring is thin and most of the interference in the press fit just translates into a shrinking of the ID of the ring.
Bearings are made with a bit of clearance between the rings and the balls. something like .0002-.0005 inches.
A two thousandth press will close up all the clearance and the bearing will NOT turn freely, it will go bump, bump, bump
Using temp extremes to make up for lousy machining tolerances will not get you a well running machine.