They also didn't have the same head shape as a ladybird and while they were moving constantly they weren't on a plant that had aphids, the ladybird's typical dinner.
Some research later, it turns out that these are actually varied carpet beetles Anthrenus verbasci - the larval stage of these creatures are usually found indoors where they eat through carpets, furniture and clothing as well as felt. You might have seen these as 'fuzzy bears'.
The adults, as seen here, feed on pollen and other plant parts, here three are visible on the allium looking for pollen.
Needless to say they didn't make it indoors on this occasion.
I plan to photograph the nice white allium again tomorrow, without the carpet beetles.