With respect, I believe what used to be said was it was uneconomic to switch off fluorescent tubes if they'll be off for less than minutes. This was because the starting up from cold does most damage to the cathodes, shortening of the life of the tubes. Theis may/may not be the case nowadays with better ballasts.
being some arbitrary number. The equation would depend on what it costs to change a tube, and the cost of having one fail. It would cost more if it was done by an electrician in a factory 15 feet above a shop floor full of machinery than by a D-I-Yer in his own kitchen. Also it might become a health and safety issue if a tube that was lighting an area where dangerous machinery was being used was to fail, the machinery might have to be shut down with knock on effects.
For this reason in industry tubes tend to be replaced on a planned preventive maintenance programme.
It's a cost issue, not a power issue.
DG