What displays in the Web Extension Web Inspector Storage tab?

I'm working on a Safari Web Extension that is migrated from Chrome/Firefox. Using the Web Inspector Storage tab has some strangeness.

1. Note there is one key/value pair showing test = test.

2. I execute await browser.storage.local.clear(). But the display does not change.

3. I execute await browser.storage.local.get('test') and I get undefined, but the display still shows test = test.

4. I execute await browser.storage.local.set({test: 'test 123'}) and I get undefined. No change to the display.

5. I execute await browser.storage.local.get('test') and I get "test 123". Display still says test = test.

All of this leaves me wondering "What is that display showing? Is it not the local storage associated with the extension? And if not, how can I view the extension's local storage area?"