(co-author here) We automatically retry on failures in a while. We also log error messages in the worker (self-hosted) and have clear indicators in the cloud UI that something went wrong (with plans to add email alerts later).
The error handling is actually the hard part here. We don't believe that failing on inserts due to the endpoint being down is the right thing because that just moves the retry/error-handling logic upstream -- now you need to roll your own queuing system, backoffs etc.