I don't agree at all and have pretty extensive experience from writing different kinds of software professionally in different companies to back that up.
Most software out there has very little to do with algorithms, and the problems with it couldn't be solved algorithmically.
The problem at hand is a terrible algorithm, but you are going for the root problem of corner cutting everywhere thats leads to bad devs writing things hastily without thinking about the algorithms they write.
It's not about the algorithms, but about doing this properly, that's the root cause. Sometimes that will manifest as choosing the wrong algorithm, but that's a rare exception from my experience.