I am not so sure if it is "in the mind". I have an Aerodyne Jazz, P/J but with a jazz neck and while that was being refurbished (flood unfortunately), I bought a Peavey P Bass copy to play. It has a lovely neck, and it was only later that I realised that the Jazz and Precision did not share the same nut width. So I measured the Peavey, and it is 38mm, the standard Jazz neck width. I have played various Precision's, and it was not difficult, but it did seem to require more work, more concentration. Now that could also be down to the neck profile, I have not looked at that.