S.minor does this alot for me also. I wish it wouldn't but I
think alot of S.minor that is out there have a some S.psittacina
in them which gives them that flop-over factor. Plants I grew
from seed of a self-pollinated floppy S.minor, about 1/16 of
them look just like S.psittacina! Anyway, no don't cut it off.
more pitchers are likely to flop over also, so get one of those
plastic rings to support the pitchers.
Dave Evans