These two things do not seem to be the same - which is correct?
1)
pilots should NEVER turn both transfer pumps off.
Dependant on attitude, you want one or other transfer pump to move any useable fuel into a place where it can feed your engine(s) until you've landed safely
and this from point 5
here
2)
The pilot does not perform a manual action to switch to the supply tanks. The supply tanks are automatically and continuously fed fuel from the main tank.