No, the Proraso pre-shave doesn't overwhelm either the lather or AS. Even the Proraso liquid cream AS doesn't overwhelm a AS, Like Pinaud Clubman when I use them together. Then again, I guess nothing would overwhelm Clubman!
The only shaving cream I've used that's ever lingered all day (with another AS over the top) is Musgo Real, I find I can smell that even into the afternoon, even with a AS on as well...