Saw VIII will determine this movie's fate.

If Saw VIII does bad, I think Lionsgate will not release Leatherface until the rights are close to expiring; kind of the same thing Dimension Films has been doing with Hellraiser, so far with Revelations and the upcoming Judgment. When Lionsgate gets to that point of losing the rights, they'll probably release the movie, regardless if its Direct to DVD or Theatrical. If not, they surprisingly might keep it shelved like All American Massacre, an incomplete movie starring Bill Moseley as Chop Top, and directed by William Hooper, Tobe Hooper's son. If it gets shelved, and never released, the rights will be bought by someone else.

And no, as far as my knowledge goes, Saw VIII will have no effect on a new Friday the 13th film. Paramount currently owns the rights to FT13, which will will expire in 2018. Paramount gave the green light for a new FT13 film to be made and released by October of this year, but cancelled it after one of their other horror movie sequels, Rings, failed to make a box office hit back in February. The rights to FT13 will expire and go back to Warner Bros. However, there is supposed talk that the original writer of the first FT13 film, Victor Miller, is fighting to obtain control and ownership of the rights to the franchise. I don't know if that is still going on, but unless the Friday the 13th franchise is owned by Lionsgate, I don't see Saw VIII having any impact on it at all. I personally would rather keep the Friday the 13th franchise dead. I also would rather keep TCM and Saw dead as well, but Hollywood still thinks banking on nostalgia or familiar content will bring in box office numbers, when it really doesn't most of the time.