If you care about being alerted when your dependencies break, writing only the kind of tests described in the article is risky. You’ve removed those dependencies from your test suite. If a minor library update changes `.json()` to `.parse(format="json")`, and you assumed they followed semver but they didn’t: you’ll find out after deployment.
Ah, but you use static typing? Great! That’ll catch some API changes. But if you discover an API changed without warning (because you thought nobody would ever do that) you’re on your own again. I suggest using a nice HTTP recording/replay library for your tests so you can adapt easily (without making live HTTP calls in your tests, which would be way too flaky, even if feasible).
I stopped worrying long ago about what is or isn’t “real” unit testing. I test as much of the software stack as I can. If a test covers too many abstraction layers at once, I split it into lower- and higher-level cases. These days, I prefer fewer “poorly” factored tests that cover many real layers of the code over countless razor-thin unit tests that only check whether a loop was implemented correctly. While risking that the whole system doesn’t work together. Because by the time you get to write your system/integration/whatever tests, you’re already exhausted from writing and refactoring all those near-pointless micro-tests.