Full-screen browsing: new tab creation (Ctrl-T): would it be possible to set focus to the address bar, like after double Ctrl-L, so I can type what I want?

Hi, when not in full screen - on new tab I have focus on the address bar, this is good.

I found that it works as I want with browser.fullscreen.autohide to false, but can I have this preference only in a new tab?

I am on Gentoo Linux, every update rebuilds the Firefox from sources - so I can apply a source code patch if this is the only option.

Thanks for the help.