Lindelof explains About the prometheus and AVP connection in an interview as:-
Q: You said nothing is an accidental reference, so is there a possible
intentional Alien Vs. Predator reference in that the Weylands are
always seeking eternal life?
Lindelof: You mean in terms of Charles Bishop Weyland? Look, as to what’s canon
and what’s not canon, for me as a screenwriter it’s transcended by
Ridley as a director. Here’s the thing. Ridley invented this. He
created this Alien universe. He birthed it out of his own heart and
soul. So he gets to do whatever it is he wants to do and he wanted to
use Weyland as a conduit in the story, and was not interested at all
when I said to him, “You know, Weyland was a character in one of the
Alien Vs. Predator movies,” he just sort of looked at me like I had
just slapped him in the face. That was the beginning, middle and end
of all Alien Vs. Predator references in our story process.
Thats clearly indicates that they want to completely ignore AVP , and weyland characters in both movies have no relation.