The bottom line is that if base current flows, wether PNP or NPN the transistor would turn on. Base current in either causes emitter-collector current to flow.
They are both switches and both turn on when current is applied.
I believe the confusion is arising because you may be looking from the voltage level perspective and not current.
The PNP does NOT stop conducting when base current appplied.
If you want an analogy to turning on a tap, imagine two taps side by side but one you turn CW for flow, the other CCW for flow, both can confuse.
Al.
CNC, Mechatronics Integration and Custom Machine Design
“Logic will get you from A to B. Imagination will take you everywhere.”
Albert E.