You or your coworker are not a web app. You can do some of the things that web apps can, and many things that a web app can't, but neither is because of the modality.
Coded determinism is hard for many problems and I find it entirely plausible that it could turn out to be the wrong approach in software, that is designed to solve some level of complex problems more generally. Average humans are pretty great at solving a certain class of complex problems that we tried to tackle unsuccessfully with many millions lines of deterministic code, or simply have not had a handle on at all, like (like build a great software CEO).