What would you like to be added?

This was previously tracked in #34059 (created in 2016, closed in 2020 after several tests were enhanced).

I'm starting to wonder whether the problem is getting worse again because we still don't catch new tests that use this anti-pattern (for example, #107763).

Is it time to start another spring clean which removes occurrences of this anti-pattern? Or perhaps add some mechanism that prevents it in new code?

/sig testing
/area e2e-test-framework

Why is this needed?

I'm getting tired of seeing failures where the only output is

Expected error:
    <*errors.errorString | 0xc820412c10>: {
        s: "timed out waiting for the condition",
    }
    timed out waiting for the condition
not to have occurred

This is the result of

Expect(err).NotTo(HaveOccurred())

or more recently

ExpectNoError(err)

An explanation string would help, but even better solutions would be possible (#106575).