Maybe this should be done with PMs A&C
but it looks like you have a CPL or ATPL then.
A lot of FAA IR private pilots do in fact have a CPL and not a PPL. This is because the FAA CPL is, like the FAA IR, much more practically based than the Euro version. I am doing mine too, have done the written already.
Also, a big chunk of the now ageing CAA IR crowd are in fact ex commercial pilots who have ATPLs, and not all of them have PPLs.