How can dotnet tool + list or update return no entries, yet dotnet tool install update an installed tool?

[RokeJulianLockhart]

An Example

My Environment

rpm -qa | grep dotnet returns:

dotnet-host-9.0.5-1.fc42.x86_64
dotnet-apphost-pack-9.0-9.0.5-1.fc42.x86_64
dotnet-hostfxr-9.0-9.0.5-1.fc42.x86_64
dotnet-runtime-9.0-9.0.5-1.fc42.x86_64
dotnet-targeting-pack-9.0-9.0.5-1.fc42.x86_64
dotnet-templates-9.0-9.0.106-1.fc42.x86_64
dotnet-sdk-9.0-9.0.106-1.fc42.x86_64

Reposts

1. Accidentally originally opened at csharplang/discussions/9447.

2. Reposted to runtime/discussions/116638, but was advised at csharplang/discussions/9447#discussioncomment-13463287 that this would be better pitted to /sdk, so I have.