
Lenny D. answered 05/03/19
Former Tufts Economics Professor and Wall Street Economist
Interesting thought but the answer is no. In reality, where the labor supply curve is Backward bending leisure is a superior good. The Budget constraint (for a 24 hour day) is 24w (y intercept) - w(leisure). When we change the wage we are changing maximum potential income. We are pivoting the budget constraint on the leisure axis, not the "income axis".. If you were to make a transfer payment to this "worker" in the amount K. the budget constraint would Shift up in a parallel fashion. (with 24 hours of leisure he gets K) you will see that he will consume more leisure (work less) have a higher total income. The income consumption cure would be positively sloped.
I like the way you are thinking. You are really looking at a cross price elasticity instead of an own price elasticity.