He's certainly right that deployment validation is the best test at some level. But it completely leaves off the most important aspect. That deployment validation, and the mistakes that you inevitably find, should directly guide your test development to prevent regression.
If you do this, future component upgrades and deployments get easier. Its well worth the extra effort.
'..with unit tests notably coming in last place – i.e. “only if you have some time”.'
The "only if you have time" part is what I disagree with. If we're doing TDD then I don't see how you can avoid writing unit tests, or even deprioritize them.
It's also kind of weird to separate them like that, as Fowler discussed here: https://martinfowler.com/articles/2021-test-shapes.html
Perhaps the author doesn't recommend TDD? They don't suggest anywhere that they do. It seems to me that the industry these days sees TDD as a tool for occasional use, not the dogma once proposed.