The app doesn't manage to save or cache things. It relies on webkit. So The same behavior should be observed across webkit browsers (stock, skyfire, or dolphin).
I have tested it with the stock and dolphin browser and on both browsers it works (auto complete for already typed-in urls). the history works on all browsers correctly.
btw the urltyping in dolphinbrowser is very compfortable because it shows some hints from google (i think at least 5 as a dropdown) maybe a feature for xscope?
