You can't keep the players straight without a scorecard ... what with all the splits, mergers, sell-offs, etc. In some instances -Zinsco is one- different breaker lines went to different firms altogether.
One particular 'electrical expert' over in the HI twilight zone has gone so far as to doubt whether new AFCI breakers are 'listed' for use in older panels of the same make because .... voila! .... the panels were never evaluated for use with breakers that had not yet been invented. Ohhhh Kaaay....
Still ... I am not aware of GE breakers evern being used in / evaluated with anything but GE panels. I don't know of any 'panel shops' that used the GE breakers- while I've encountered many that used C-H, Murray, and Siemens. So, odds are, the GE breakers are not really supposed to be in the panels.
Is there a problem with this? From a 'paperwork' aspect, there surely is. In reality? Well, as the entire 'classified breaker' furball revealed, the conflict is one based more upon marketing strategies than any technical issue. A review of DOD contracts will show that GE, Siemens, and others are quite willing to stipulate that their panels are perfectly fine with other brands of breakers in them - a position quite different from the one you'll hear when you call them up. UL is quite happy to stand apart from this hot potato.