I know Blizzard has a reputation for doing this, but I think it's reaching to claim they'd let the closed beta of a fairly disliked game dictate their patch release dates. A release date, sure. A major patch or expansion? Sure. A closed beta? Meh, seems unlikely due to its insignificance.
(that assumes the beta even actually starts that day and doesn't get pushed again. New World has been postponed and revamped so many times at this point that it wouldn't shock me if they pushed the beta start date back again)