Integration tests also require more development to allow integration while still being hermetic (isolating out any external factors, since you might have to architect to share injected dependencies between modules) -or- more maintenance if you don't make them hermetic and they have to track external dependencies. They require more time to triage failures as well if they're not hermetic, as external failure is a possibility; you can't just trust the test results. And final acceptance tests should never be hermetic--they should accept based on realistic environments--so they're almost always a little high-maintenance.
So while the value is there, the cost is much higher and it'd be more of a distraction from primary development. Cost and benefit have to be considered.
So in this model the integration/acceptance part is handled by dogfooding, which is the lowest cost way to get a decent chunk of it, even though it only walks happy-path for the most part.
But that's why I said I'd add exploratory to B2C seed, is to get back some of the integration testing on non-happy paths and obscure paths.
Edit: find docs on the test pyramid and consider that the shrinking number of tests as you go up also implies somewhat lower technical debt as you skip going up. The shrinkage is a function of the cost vs. benefit--you're just taking it to its logical conclusion of omission.