Some of the larger ones might, but Globemaster itself is a hybrid --
From JohnScheepers.com (
https://www.johnscheepers.com/... ):
"A 1971 Jan Bijl hybrid developed by crossing A. macleanii Baker and A. albopilosum (aka A. christophii), Allium Globemaster is one of the longest flowering Allium since its flowers are sterile~they don't produce seeds. Depending on spring temperatures, it can flower up to five weeks with ever enlarging floral globes that maintain their stage presence as they die back into dried spidery orbs. If it is happy where it is, Globemaster will return for many years with an ever-increasing stem count. One of our clients reported that her Globemasters were so happy in her garden that they multiplied from 24 to 60 flowering stems in just 3 years. This happens because little baby bulbs, called offsets or bulblets, grow on the sides of the mother bulb's basal plate. If flowers start to diminish in size, it may be time to gently dig them up in the fall and replant the bulblets away from the mother bulb to give them all room to grow and thrive."