They did won the Hugo award for "the best all time series"... which Asimov always thought it was created to coronate TLOTR, and was quite surprised when he saw he won it

.
But yeah, I agree with Battuta that this series' influence is indeed subtle but existent in BP universe.
There is another parallel to be made. Each chapter in Foundation, there is a different protagonist, who symbolizes a different kind of specialist or culture that "wins" in their own turn. First the psychohistorian, then the "scientists", the "preachers", the "merchants", etc. In BP, we do play mr. Bei from the GTVA first, and then we play ms. Laporte from the UEF. Perhaps after WiH2 we could play even another different character from another "tribe", with a completely different culture.
Foundation was quite cruel in the character developments, in the sense that each subsequent "culture" was quite different from the last and went to subdued it, made the previous one obsolete and ridiculous. In BP we have less of that, it seems that "UBUNTU" way is somewhat in favour by both campaigns, first by Bei and his "harmonious" relationship with Vishnans et al, and then Laporte. One could make the case that there is a different arc to them. Bei comes from a fighting tribe and learns "harmony" with the Vishnans, while Laporte comes from a harmonious peaceful background and learns to be a relentless assassin with Shivan's support (or smth).
So it depends greatly on how WiH2 finishes Laporte's arc.
There is another big difference. While Foundation's subsequent chapters and "levels" of society follow in a somewhat horizontal fashion (there is no moral choice between scientists and merchants), in BP it's all moralized, polarized and vertical, between an agressive war-bent civilization and a peaceful harmonious one (between the devil and christ, so to speak). Foundation is all about "what comes next?", where in BP it's all about "what will win, peace or destruction?"
Needless to say, I prefer amoralized Foundation's narrative structure, although both stirr my curiosity.