Duplicate logging ID and name in health checks

### Is there an existing issue for this?

- [X] I have searched the existing issues

### Describe the bug

Health checks reuses a logging ID and name for end events at different log levels. We don't do this anywhere else in ASP.NET Core.

https://github.com/dotnet/aspnetcore/blob/4535ea1263e9a24ca8d37b7266797fe1563b8b12/src/HealthChecks/HealthChecks/src/DefaultHealthCheckService.cs#L220-L229

### Expected Behavior

I think we should have different log messages for different events to be consistent with the rest of the logging.

### Steps To Reproduce

_No response_

### Exceptions (if any)

_No response_

### .NET Version

_No response_

### Anything else?

_No response_