The Tonkin hybrid 'Soft Whisper' can also produce bulbils:
The stem was damaged during blooming - the wind snapped it a bit below the top of the stem, but did not break it off. The remaining bud bloomed normally (I staked it to secure it). Recently I removed the stake and found the bulbils at the top. You can see where I dead-headed the two blooms.
The other bulb I have of this cultivar bloomed normally and has not produced bulbils (its stem was fine), so it seems that 'Soft Whisper' can be induced to form bulbils under the right conditions.
