Are user names in pats pii personally identifiable information?

Question

We are starting to log unhandled exceptions from an app to a third party provider so we know what kind of errors our users are facing. When calling code like File.Open it includes path information in the unhandled exception like:

C:\Users\username\AppData\Local\Packages\MyApp

Would username be considered personally identifiable information?

Is there any difference between:

C:\Users\name_surname\AppData\Local\Packages\MyApp and C:\Users\fake_username\AppData\Local\Packages\MyApp

in terms of PII?

Thanks