If the flaps switch stays in the up position that would be much better,...
Not necessarily. I fly a C172P, C172N (both with gated switches) and a Tecnam P92 (up/down switch + flap position indicator) from a narrow, 400m runway.
Standard procedure here for all three aircraft is 10°, respectively 15° flaps for take-off from such a runway, so having the flaps retract fully during a touch & go could be somewhat embarrassing.
I have to admit that with that runway length and when I'm alone, I much prefer full-stop landings instead, when practising take-off's and landings. T&G's are much too stressful...