Also consider another thing. Power ON or OFF stall speeds are the SAME in a jet airplane, since no propeller moves air over the wings, thereby no change in stall speeds.
Not true, as, for a start, that is not the reason for a lower power on stall speed in a prop powered aircraft.
The reason for BOTH types is that at a nose high attitude associated with a high AOA, the thrust vector is tilted, so some thrust now works in conjunction with lift. Critical AOA is now achieved at a slower speed, as the thrust is producing some of the lift.
If you are teaching that Vs is the same power on or off, then yes, your manual needs revising.