Custom logs are not (always?) collected when Initialize method fails

[ryanbrandenburg]

The Razor Integration tests currently have a failure that seems to happen only on the CI that's been hard to diagnose because it happens within AbstractRazorEditorTest.InitializeAsync and even though we make our RegisterCustomLogger calls at the top of the method they don't seem to get hit. I assume that has something to do with
this code seemingly special-casing exceptions thrown from Initialize, but I'm not clear on the precise behaviors here.

Here's one of the failures which is lacking the expected logs from our RegisterCustomLogger's.