When I have just stalled a wing, I'm just above the critical AoA and my win
g produces hardly any lift, so my AoA will increase further. But when I det
ect this early enough I might be able to get below the critical AoA by just
moving the flaps forward.

Minor minor detail, but...
You mention the critical AoA as if it is 1 fixed value.
In subsonic airflow there is hysteresis around the stall, so the AoA needs to be a little bit lower than where it starts to stall in order to un-stall.
It is only a few degrees, but it is something which consistently shows in wind tunnel polars.
Nevertheless, and important detail if one were to come up with an automatic flap-un-staller device :-)

Roel