Den of Geek has an interview with Daniel Myrick, the co-writer and director of The Blair Witch Project, and the topic of Cloverfield came up:
Do you take it as a complement then when something like Cloverfield, ten years on, gets compared in certain ways to Blair Witch?
Absolutely, yeah. I thought it was very much in the spirit of the Blair Witch, and a very ballsy move for a high budget film to take that kind of cinematic approach. I thought they executed it on a lot of levels very well. I would have done a couple of things differently. But I think that for a film like that to get made is very encouraging.