[AWebOfBrown]

The reality is that I've heard unit, integration and e2e almost entirely used interchangeably, maybe except the former and latter. I don't think trying to nail down the terms to something concrete is necessarily a useful exercise. Attempts to do so, imo, make subjective sense in the terms of the individual's stack/deployment scenario.

To me, it's a contextual term much like 'single responsibility'. In this case, the two "sides" of an integration test are present. A consumer issues a request and a provider responds accordingly. The tests would ascertain that with variations to the client request, the provider behaves in the expected manner.

At which point you might point out that this sounds like an e2e test, but actually using the client web app, for example, might involve far more than a simple http client/library - in no small part because the provider can easily run a simple consumer in memory and avoid the network entirely. E2e tests tend to be far more fragile, so from the perspective of achieving practical continuous deployment, it's a useful distinction.

integration tests in this instance: varying HTTP requests (infrastructure layer) provoke correct behaviour in application layer.

e2e: intended client issues http requests under the correct conditions, which provokes certain provider behaviour, which client then actually utilises correctly.

This, to me, is why the most important part of testing is understanding the boundaries of the tests. Not worrying about their names.