What I care about is that the function from income earned to income (including subsidy) received be monotonic. Again, the income tax system (at least in the US) is carefully designed to have this property: when you make enough more money to move into a higher tax bracket, that higher rate is applied only to the amount of your income in excess of the lower bound at which that bracket applies. So the total amount of tax never jumps discontinuously, even though the marginal rate increases. Even though you keep less of your next dollar of earnings the more you make, there's never a point at which earning the next dollar will leave you with less money after tax.
The same should be true even if you're receiving a subsidy. That's all I'm saying.