The effect you describe may be real, but if so it is extremely consistently swamped by the basic law of supply and demand. Offering more money for labor causes more people to work.

Which supply, and which demand, are we talking about?

There is the demand of workers for work, the demand of employers to have work done, and the demand of consumers for stuff. There is the supply of work from employers, of man-hours from workers, and of stuff being produced. Most people occupy at least two of these roles and sometimes all three.