Even inside, I would think that both day length and the relative strength of sunlight are sufficient to let the plant know what season it is.
Here is a branchy Aeonium which occupies a pair of 8-inch (20cm) pots in there and has now taken over its wooden stand with very little effort on my part (once a year I remove the dead flower stalks). Those tiles are 1 foot (30cm) wide, so you have some idea of the scale.
As for the heads underneath, shaded by the rest of the plant, they may die off or they may continue and grow longer in an attempt to squeeze through. Eventually the longest stems flower (second set of pictures) and end there. The plant is very good at figuring out how to keep a full set of rosettes, given the balance between generation and decay.
I would wait a couple of days to a week to water an Aeonium cutting, depending on the width of the stem. Yours are pretty skinny so I wouldn't see any benefit in waiting longer than a week.
