Location bar tab searches

I sometimes like to check if some site is open already by typing into the location bar and if a match is found then it will suggest to open/switch to that tab instead opening a new one. However this only appears to include active tabs, and not the ones that have not been re-activated from a previous session. By that I mean where I have closed the browser and then the next time after starting up again, if I have not clicked on that tab so that it has not loaded up again. It would be good if those could be included as well, so that I don’t end up opening a new tab with the same website, or have to re-find the same sub-page of a website if it was still in one of the existing tabs.