I think this is far too expensive a solution for stairwell lighting... in my view, it would be overkill. If I understand correctly, the switch disconnects the entire lamp from the power supply. When the power is back on, the Philips Hue switches on with the standard setting (white, bright). You don't even need a bridge for this.
For a stairwell, I would use normal wall or ceiling lamps. If I had to change something, I would bridge all the switches and install a lamp with a built-in motion detector on each floor. Then there is only ever light on the floor where someone is and you never have to search for or press a switch. That's real convenience (I have this in my stairwell to the basement)!

Same opinion, Surimu is far too expensive for the intended purpose, if it is to be Hue then perhaps the Aurelle series would be better. 1 bridge is enough, but Hue lamps need permanent power to work adequately with the bridge, the said timer would cut the power / connection. If bridge then with Hue motion detector, there you can also flexibly determine the burning time of the lamps.

Thanks, that's a good idea!

See e.g. here: Tracon Protected round ceiling light with motion sensor (2600 lm)