A bit odd…
But these regs are decades old and have been used sometimes extensively, so checking the single valve components is important.
The S-Wing Poppet should be good since new, so the small o-rings should be good, but checking them in the balance chamber is always a good idea.
The orifice seems to be okay, the LP Seat new, so my concentration would be on the spring and the imprinting orientation and marks on the LP Seat.
You have tried already a couple of times valve mechanism, so there should be to see some marks on the seat.
Check if they are even in depth and orientation.
If one side has deeper marks than the other, then the spring might exert for whatever reason an uneven pressure on the seat.
The spring could be slightly bend, one little piece on the base might have broken off, or the ‘base’ on the balance chamber or even on the S-Wing Poppet is imperfect.
Usually get the springs with time ‘harder’, because slightly shorter, but I have found also very soft springs (no idea why).
If you can compare your BA spring with another BA- R-Series- G-Series (not G250V) – most of the S-Series - 080 spring (they all use the same 01.020.216 spring), you might feel a difference and could swap it for a try.
I once had even a 2nd with the orifice threads so damaged, that the orifice finally sat uneven on the LP Seat, making the cracking effort quite hard.
Concerning the lever, so normally you don’t have to change the lever to get good results, but of course you have to remove and inspect the lever to see if it is bend or the feet are not straight and parallel.
If your BA is an upgraded 109, then also the old ‘rubber’ membrane can cause sometimes some free flow, because it is very ‘flat’ and doesn’t have the flexibility and ‘response’ as the silicone ones.
Apart from free flow or not is it often a good idea to polish the center plate of the membrane to get the best results concerning smoothness and ‘response’ of the valve mechanism.
Anyway, after what you described, my guess would be that there is a problem with the spring, just check it.
Good luck!