Yes, you're right. The common (lazy) approach for companies that don't give a shit is "we own everything because it might be complicated to introduce ambiguity and we own you anyway".
Having carveouts for obviously not-related software is easy. At a decent company populated by reasonable people, if you wanted to work on something you felt fell into the grey area, you would ask and get a written okay. Which is how it also works at many of the shitty companies! The difference is that the shitty companies there's never a route to do anything, however unrelated, without running it by HR. Because they think they own you.
> Imagine after Slack took off, that an employee claimed that because they had written Slack at least partly outside of working hours and it was not "video game software", the company didn't have ownership of the software.
On the contrary, using a nonzero amount of working hours to work on something pretty clearly makes it company property.