The once-per-minute last-used update is a useful caveat for rotation verification. I would avoid treating a fresh timestamp alone as proof that a particular integration switched successfully, especially while old and new credentials are both active. Another request can explain that timestamp.
A recognizable read probe with a correlation ID, matched to server-side audit evidence identifying the credential prefix and workspace, would establish the actual path without exposing the secret. After switching, a separate check that the obsolete credential is rejected would verify revocation rather than merely the replacement's existence.