Also had exactly the same problem recently (on a 389 but same difference), after no hint of trouble for several years. I put a brass float in, using the same tipped needle, same seat etc, and the problem went away. Could be the raised moulded letters maybe causing jamming in certain circs - they do say to have them on the outside face I think . . . but mine got stuck when being tickled whichever way round. And could well be another modern fuel thing I suppose.
The workaround was 'tickle till drippy, turn fuel off, start, turn fuel on again after about 20 seconds'. The vibes etc sorted it every time and it never happened with the engine running.