[DX]: Bad /healthcheck should write logs

[mountainash]

It would be really nice (better Developer Experience) if a non-ok request to /api/system/healthcheck would also write to the STDOUT logs what the issue is.

We have Cockpit being deployed with CI/CD runners and it's hard to guess why a server it's passing it's healthchecks - if there was output to the logs it would make debugging much easier.

2024-08-15T11:27:51.264 app[9185e6d9f76168] fra [info] 2024/08/15 11:27:51 [info] 372#372 "cockpit" application started

2024-08-15T11:27:53.661 health[9185e6d9f76168] fra [error] Health check on port 80 has failed. Your app is not responding properly. Services exposed on ports [80, 443] will have intermittent failures until the health check passes.