We have Lilium lancifolium flavum, Owdboggy which looks very much liked this, but photos don't really show small differences in plants.
No, I have never seen flowers on the bulbils of lilys. The bulbils that I collected and planted of L. l. flavum last year are just growing on as small bulbs, no flowers for a few years to come.

Never seen flowering bulbils, myself, either. It may not be so surprising: the same buds that produce bulbils on the lower part of the stem, will produce flowers on the upper part.

I just called it aureum 'cos I was never actually given a name other than a yellow form of L. lanceolatum. The original plant came from Scotland somewhere.