Jason Runs in the 2009 intro of the Friday the 13th although it is a short distance run its a run non the less, keep in mind Jason is a big guy, but he's fast for his size maybe his run won't be as fast as some in MKX but it will be fast enough for a machete follow up hack n slash combo lol
I'm going to quote this because this is the answer to this thread.
Jason is a more of a crazed human hunter now than a big dumb zombie, he runs, he can nail a guy driving a speed boat in the middle of a lake in the head with an arrow with no problems, he can set traps and ambush, and he can throw an axe hard, fast, and accurate enough to nail a running quarterback in the spine.
He's a different killer now.
Jason isn't a slouch anymore.
Just like Freddy, they're clearly going to be using the modern version to coincide with the most recent and upcoming film(s).