what I can't understand is why the hours I obtain as SPIC
You are not SPIC. You might think you are but you are not.
It is the rule pertaining only to Integrated Courses.
You are not on an Integrated course and are simply hour building in your own time. As you are not a member of your club they won't let you fly solo and so have to have the Instructor with you and you are dual.
Pay your €800 membership and go fly solo and problem solved.
Student pilot-in-command (SPIC)
Flight time during which the flight instructor will only observe the student acting as pilot-in-command and shall not influence or control the flight of the aircraft. SPIC hours can only be accredited for graduates of Integrated Courses for ATPL (A)/(H), CPL (A)/IR and CPL (H)
Note - It is a condition of a SPIC flight that the instructor must not have had to influence or control any part of the flight. Therefore the instructor is not giving instruction on any flight that is declared as SPIC. For this reason SPIC time cannot be credited against any requirement for dual instruction.