Hi Diana,
I gave to a test user the Personas consumer role + execution access to SMEN and SU53 - no other access. I ran into the same authorization check not successful as you did.
The case here is that method IS_USER_AUTHORIZED from class /PERSONAS/CL_AUTHMGR_BASE receives all P_ACTVT_RT values (i.e. '*'). Thus, it is execpted that for consumer role, you find the fail for activities 04, 05, 06 and 07.
Regards,
Cris