You are going to find that you are "in the soup..." for bearing selection. I don't know who did the bearing application on the Wild H. extreme output shaft...but I do recognize your measurements...and I've spent a fair amount of time in bearing catalogs.
What I can tell you is that your measured bearing OD of 2.438 corresponds to a exact inch size of 2-7/16 diameter.
Your measured bearing OD of 2.441 corresponds to an exact metric size of 62mm.
There are only a few occasions where the imperial sized bearings get really close to the metric ones. Very much like your metric wrenches and your inch sized wrenches. The are all completely different until you get to your 16mm wrench...and it might as well be 5/8". (only .005" different) It is literally a hair's width different. (Not a red-hair, nor a flaxen hair...but more of a black hair.)
My experience with bearings is that bearing manufacturers are good. Really good. Any ISO certified bearing will come out better than I can measure. I've mixed and matched bearing races, cones, and cups from various manufacturers, countries of origin, age, new, used etc. They are all built to standard, and they are all good. And by good, I mean 6 sigma quality good. Temperature compensated, machined and ground to better than a tenth good. The problem with mixing brands is that you might accidentally install the wrong bearing combination. In Poke-Yoke terms, it's always better to use matched brands.
It is possible that the person that appliled the bearing decided that .004 was "close enough." If so, loctite will work fine. If not, you will need to source the right outer race. Keep in mind that many bearing installations allow for slip fit of the OD to housing, (so it very likely won't spin the race.) But you will need to find out the designer's intent.
The fact that JBfab above had to press his in tells me that you probably have the wrong outer race...