When there is an all-white-key glissando, it's PA. When there is a chromatic glissando it's CBA.
When two-octave "jumps" are played legato, it's CBA, just like when there are impossibly large chords.
In "plain playing" it becomes more tricky to hear the difference, but if it is fairly slow then it can still be done: the way the reeds/note are distributed over the reed blocks is different in PA versus CBA. The difference is best heard on the M register (clearer when there is cassotto but still a bit when there isn't. Listen very carefully to the A and C notes on the one hand and on to the B, D and F notes on the other hand (on C- or B-system, not Do2 or Finnish). The timbre of all 5 these notes will be identical on PA but A and C will have a different timbre than B, D an F on CBA. That's because on PA they are all on the same reed block but on CBA they are on different blocks. Then, if you hear a very slow chromatic scale and every third note is less mellow than the other two (for instance C, C# mellow, D less mellow, D# and D mellow, F less mellow) then it's a CBA with 3 reed blocks in cassotto (and the example would be C system, as on B system it would be C les mellow, C# and D mellow, D# less mellow, E and F mellow, etc.) Once a combined register is used, like LM, MH, MM, etc., you can no longer hear the difference.
The differences are not just between PA and CBA... some people can identify the specific sound of a type of accordion. I cannot, although I can identify the specific sound of each of my four CBAs. (I can identify some more, like when listening to some classical music on accordion on the radio I can tell the difference between Pigini and other brands (Bugari, Scandalli), and with jazz music I can often recognize the sound of a Victoria.)