Yes the term "pick up" the wing with rudder is used, but all it does is stop the wing from dropping any further. I've never heard of it being taught as a way to level the wings..?
Un stalling the wing is something altogether different, but there ain't much point un stalling with the nose attitude low and at a high and increasing angle of bank so may as well stop the rolling first..
Lets get real tho.. The majority of training aircraft 152s and 172s etc are so ridiculously stable, that you would have to do everything wrong, and then hold all those stupid control inputs for quite a period of time to get yourself into real trouble ( unless your close to the ground, then trouble may arrive sooner than later.) .
Having taught spinning, the hilarious "choose your own adventure" recovery techniques I've seen even after solid briefings would make yours eyes water, and the aircraft still wants to sort it's self out and recover...
Next time you have some time to kill, go fly around with the stall warning going at all times ( might be best to start at altitude..) climb, descend and turn etc all with the stall going off.
A lot of people are sh1t scared of flight at those speeds and attitudes..
There's not much need for the fear in most training aircraft.