Yes, all hours are logged as P1.
Careful with this one - I had 12 hours hour building logging as P1 from LEAX with 'safety pilot' - young erk with fewer hours than me. The aircraft is signed out to the operator, but P1 assigned to you. The logbook doesn't match.
UK CAA did not like it one jot; I had to fly these hours extra before CPL application approved.
Not amused.
This would have been 35 hours had I not insisted these jokers teach me joining and circuit Spanish.
I would have been doubly unamused at that point.
As I understand it, there is no concept of safety pilot in the UK.