I agree with everything you wrote, except "the
Whichever option you choose for parameter#10, if you set a synchronous phase value, the RF phase will necessarily depend on the field in the cavity, i.e. minimally on its length.RF phase" does NOT depend on the length of the fieldmap.
In your example if you change "A2: field_map 100 134 -30 10 0 0.1 0 0 A2_78_134 1" by "A2: field_map 100 120 -30 10 0 0.1 0 0 A2_78_134 1"
The RF phase is obviously not the same!
Regards,
Didier