You are correct. Even big jets can glide as long as there’s enough airflow over the wing.
One of the common mistakes in large jetliner crashes involve pilots who pull up to try to regain altitude resulting in a stall. Pushing down and getting air over the wing results in lift which will save even the largest aircraft.
Early jet pilots, esp. in the Luftwaffe, learned quickly how fast their lift deteriorates in a bombing dive. They had to alternate their rudder to wiggle the butt of the plane and regain control, so there are situations where a dive could result in a loss of control; but you’d have to be straight down.
True.
For those who haven't already heard of the Gimli Glider, an Air Canada Boeing 767 that the pilots glided to a landing from 41,000 feet in 1983:
https://en.wikipedia.org/wiki/Gimli_Glider
Once airflow over the wings slows down to the point that the lift is no longer greater than the weight of the airplane, it stalls. An airplane can stall with the engine running just fine.