Wayne,
The role of intuition in playing accordion is a complicated topic. I have lots of opinions, and you will probably wish you hadn't gotten me started.
A lot depends on how our brains are wired and the type of music training we have had. I tend to think in spacial patterns, so when I started playing diatonic (6 years ago) I learned some basic relationships and applied them (along with muscle memory) to fairly simple music. Playing in this way became very intuitive and got me well into the intermediate level. Knowing the piano keyboard helped to visualize scales on the diatonic.
Now that I am working on more complex music, my intuition is not sufficient and everything is more cerebral. I actually have to KNOW the entire 33-50 button keyboard, both in and out. And this is just the treble side.
I also have three different bass systems (each with 12-18 buttons) to contend with. They have a few commonalities, but most of the buttons are where I, or someone else, decided they should be.
I spend a lot of time now refining my mental map of treble and bass to include the buttons I haven't used as often. Hopefully it will eventually become more intuitive and less cerebral.
The CBA treble keyboard seems more straightforward and predictable than on a diatonic. I could easily write down all the notes, but getting my fingers to play them consistently is another thing. I am still working on my mental map of angles, intervals and elusive notes like D#, G#, and C#.
The Stradella bass system makes no intuitive sense to me whatsoever. My brain doesn't like having fifths next to each other. I've just had learn it by force. For free bass, I decided on C-system so I can mentally invert the patterns from the right hand. Much more intuitive than the quint system.
I have only played a PA a few times. It seems awkward to have the keyboard placed on its end instead of in front of me. That said, switching from PA to CBA does not seem like it would be very intuitive because of the spacial differences and alternate fingerings on the CBA. Intuitive or not, lots of people have done it.