I did not get any response, but in the meantime I have come to the conclusion that the FP1 screws will not fit the FP2. According to iFixit, the FP1 screws require a Phillips #000 screwdriver (P000) whilst the FP2 screws require a Phillips #0 screwdriver (P0).
iFixit’s display replacement instructions (step 7 & step 17) mention FP1 screws of 3.9 & 2.5 mm (length, apparently), while FP2 screws have a length of 5.5 mm according to iFixit’s FP2 teardown (step 7).