P1s or PICUS or P1US or any VARIATION of the same theme is semantics. They all mean the same thing the variation comes from the different log book suppliers.
I know what you mean Bose but again with respect for my money making a comment like that to a student, and I am referring to P1/S indicates you are not familiar with the regulations and as such detracts from your authority as a professional instructor.
Teaching to high standards start by instructors adhering to high standards.
I am sorry the above sounds like I am being very pedantic but to me the above is as important as being able to fly accuately. (and yes I am still working at both of the aforementioned)