Is electricity saved by switching off the lights when leaving a room?
The inrush current issue has nothing to do with saving electricity.

But the inrush current puts a lot of physical stress on the bulb, reducing its lifetime. So the argument that you should leave the light on is about making the bulb last longer (saving money on light bulbs), not about saving the money you spend on electricity.

Obviously, there's eventually a crossover point, where you're spending more on electricity than you would be on replacement light bulbs. But determining exactly where that is will be difficult, because it's hard to quantify the amount of "damage" done to a bulb by each inrush event. It's very much a statistical thing, which would require gathering data on a large number of bulbs over a significant amount of time.