It won't be the 13th sequel story, but the 13th movie.
Jason Takes Manhatten = movie 8
Jason Goes to Hell = movie 9
Jason X = movie 10
Jason vs. Freddy = movie 11
Jason remake = movie 12
Is nobody else excited about this, if it happens. I'm totally stoked if it really goes through. As much as I love Jason, after part 6, the sequels all sucked, both stories and characters, totally departing from realism (undead guy excluded). FvJ was more of a Freddy movie with Jason in it, so it gets a pass, and the remake Jason isn't the Jason I love though it's a fair movie. I can't even watch the rest anymore.
I've always wished they'd pick up the story again from part 6, or remake that sequel bringing back Feldman as Tommy. Say what you will about Feldman, but if he stepped back into the role of the only character to ever really put Jason down (twice if you count part 6), then I'm all over that, even if they restart form part 4.