Brave does not proxy 'google fallback mixing' through its servers

I enabled the ‘Google fallback mixing’ feature from the brave search settings panel.

When I search for random topic like, ‘Should I buy apple iOS 13 or not’, it uses google fallback mixing along with brave search. But, the thing is, it connects to google domain ( to retrieve and mix the results with brave search index.

Shouldn’t brave use it’s proxy servers the way it does for google domains which needs to be connected for brave to function, like google safe browsing and some other chromium stuff? Or is not possible to do it for google fallback mixing?