First of all, "getting away" with something by relying on someone else to know what you don't know but need to use is hardly a virtue. If someone wants to work like that, to each his own. The problem I have is people telling the next generation that since you can "get away" without math, that it isn't important to take it very seriously as a programmer.

Second of all, like you said, you can get the "hack" done without math. I would say the less hacks you have to use in your programs the better, and the best practice is to code at a high enough level of generality that you don't need any hacks at all. Without math, so much time is spent (or wasted) tinkering around, and you don't often end up with the optimal solution. Whereas a strong math background lets you skip all that tinkering, because you are able to properly plan a solution before you even write a single line of code.