I faced this issue about two months ago.
LOA30 5-F-1-h (which to my knowledge is still in effect as it was two months ago): “…For unaugmented duty periods, the Company may make this offer only if there is a single flight in the Duty Period and the offer is made and accepted before the takeoff of that flight.”
I was sitting waiting to start leg two, so no add-pay authorized in my situation.
Our aircraft came in with a bad FADEC so it was broke for several hours. I had been sitting in the CPO for approx. 5 hours at the point the Crew Desk called and asked me to extend my full two hours (I was limiting, CA was not). I felt I would be too fatigued to continue to the max extended FDP and declared I would not extend.
A FSAP was required for me to ensure pay protection in my situation. I’ll summarize the ALPA response I received via PDR: You are essentially expected to extend 30 min past your original CCO (FAA interpretation of 117), and if you won’t do the 30 minutes, you have to do a FSAP (but you don’t have to extend, you just have to do a FSAP saying you’re too fatigued). If you tell the desk, I will extend 30 min extra and no more and you still can’t set takeoff power by then, then you can decline extending further and a FSAP is not required.