I know that's a typo, but just to clarify...
Pressing on a bearing, the INNER race should take the load.
Usually when removing a bearing its because the bearing is bad so where you press or pull on a bad bearing will be more a matter of convenience rather than technical protocol.
Bob, that was not a typo on my part (but I recognize that you and I may be thinking about this in two different ways).
Typically band wheel bearings are pressed into the wheel itself, and they float on an axle, shaft or spindle. In other applications - such as rear axles on 60's and 70's vintage automobiles - the bearings are pressed onto the axle and slipped into the housing.
Presuming that his band wheel's have the bearings pressed into the wheels, if you install them by pressing on the inner race you will damage the bearing due to the fact that the press load is being transferred through the ball bearings to the outer race- where the friction occurs as it is installed.
I'm presuming that you're thinking of installations where the outer race floats in a housing, and the bearing is a "press fit" onto a shaft. In those instances, you are completely correct in that the inner race should take the load.
So let me correct my earlier statement.
Tom, be sure to press on the race that is the friction fit into your application. If the inner race is a slip fit over a bolt, shaft or axle, then the bearing should be pressed into place by only applying force to the outer race.
On the other hand, if it's a press fit onto the spindle and slips into the wheel, then only apply force to the inner race.
Applying installation force to the slip fit bearing race will in all liklihood damage the bearing.
Scott