That's not SELF-hosting.

Self-hosting, with emphasis on the self, to me is taking it into your own hands.

Using the cloud can be very liberating these days, you can do it in a vendor agnostic way where you own all your domains, your data and can move freely between any cloud provider.

There's a sense in which using the cloud isn't SELF hosting either. Although I get what you mean.

It's even better than self-hosting on bare metal, because you can move from one vendor to another quicker using IaC.

Also more expensive of course.

To me self-hosting was always about freedom. The two arguments against self-hosting in the cloud are security and cost.