It makes sense if employers sold employees to other employers, but it falls apart in the standard labor market.
If I am currently employed and job searching, it is because my current employer is a lemon, not me. The prospective employer should be focused on determining my value to them. Everyone has some value (possibly negative, in extreme cases) and if we both agree then we should both be happy.
In this context, an employer could be a lemon for a million different reasons.