Nope to issues there, or the other way I use plenty - 110v induction bearing heater.
The only trick to these people neglect to think of is ending on the right end of the AC wave cycle. You effectively make it a magnet every fraction of a second, so keeping a steel paperclip on a string is a good check. Wave it by the race, see if the magnet swings or not, bump the power until you get unmagnetized.
We were told because a SKF bearing rep came out to help diagnose a situation we were smoking bearings in a compressor about the magetized bearings issue - worn shavings are quicker to wear a bearing than a non-mag'ed one, the fines stick where otherwise would float suspended in grease irrigation. --One of those times the real world beats 'internet smarts'.
Common shop practice is to intentionally grease the bearing plenty (packed by jand like our axle bearing grease packers), watch for the 1st wisp of smoke (~22 sec on a axle sized bearing), grab the paperclip & bump the power.
I'd think for most apps you want the bearing race hot to shrink fit it in a average cast housing, but whatever works for you - awesome.
We use cold to expand a item, then heat to shrink -
Frankly last time I used both was a 'government' job for a fella where 40's era CAT dozers use a slip fit, 2 piece powerdriven shaft you freeze the outer & heat the inner to slip fit to your appication. It's a static length in operation (runs the winch), but you have to adjust for the dozer application on setup. At least that was as I recall, I wasn't installing it, just adjusting length with him @ our jobsite.
To get there took 2 full days in a chest freezer, covered in dry ice & me using a rosebud on a torch to get the opposite hot enough.
Back to topic, induction bearing heaters are awesome if you do bearing work enough, I think you can rent them too, they are $$$.
Here's similar to the shop one w/ diff size bearing hangers:
Midi 3 3kW Speedfit Induction Heaters
Here's a fancy one I'd love to have @ home (no idea the $$$$, proper size)
Video explains operation too - worth a minute of your time:
SKF High frequency portable induction heater TMBH 1