The term primary (photo)process for photophysical processes is apt to lead to inconsistencies, and its use is therefore discouraged.
See: primary photochemical process
Source:
PAC, 1996, 68, 2223. 'Glossary of terms used in photochemistry (IUPAC Recommendations 1996)' on page 2266 (https://doi.org/10.1351/pac199668122223)