prometheus.remote_write should be "unhealthy" if credentials are wrong

[ptodev]

What's wrong?

A user reported that they had put in wrong Mimir credentials in prometheus.remote_write, and yet the component still displayed as "healthy". I believe most people would expect it to be "unhealthy" in this case. It should probably be "unhealthy" if it receives anything other than a 2xx response from Mimir.

I'm not sure how this would work in practice though. What if every other request to Mimir is healthy? And how long do we need to wait until the last non 2xx response for the component to become healthy again?

Steps to reproduce

Use bad credentials.

System information

No response

Software version

No response

Configuration

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