Its not the airspeed of the plane, its the increased airspeed of the air going through the prop
OK, you are right and text books are wrong. If you didn't read or even browse the second link I posted, read the first paragraph under section 5.2.
This is getting old. Why do I bother trying to correct people's misconceptions on these stupid discussion forums? Especially when people don't care to listen. Why? So the others that think they are learning something, can learn the truth instead of repeating opinion, hearsay, false truths, half truths, etc......
If you are stating opinion please precede it with the usual internet method of, "I heard", "my friend told me", "I read online", "I think", etc.
If you are stating fact quote your source or experience.
There is a method to calculate power from thrust and air velocity, but this isn't thrust power as in the calculation of propulsive efficiency.