Dumping the OGL for 4e helped create the 4e disaster - there was a lack of third party support (adventures, settings), combined with poor quality adventures from WotC. They would have been much better sticking with it IMO. The result was that people stuck with 3e then went over to Pathfinder.
5e uses the OGL and is doing very well, though I'm not sure the causal relationship is very strong. Conversely the OGL definitely helped 3e I think, with the enormous amount of available content.
So I would say the answer is no.
I think Paizo's problems are (a) the Pathfinder brand is much weaker than D&D, (b) Paizo have never been good at rules design, and (c) 5e D&D is well designed, especially for bringing in new players. Obviously without the OGL Pathfinder would not exist, but Paizo is a bit stuck now. Their hardcore fans want crunch and aren't interested in 5e, but the growth market is in material for 5e. I would think their best bet would be publishing 5e versions of their APs combined with continuing to support original Pathfinder for the legacy fans, rather than a new edition of PF.
5e uses the OGL and is doing very well, though I'm not sure the causal relationship is very strong. Conversely the OGL definitely helped 3e I think, with the enormous amount of available content.
So I would say the answer is no.
I think Paizo's problems are (a) the Pathfinder brand is much weaker than D&D, (b) Paizo have never been good at rules design, and (c) 5e D&D is well designed, especially for bringing in new players. Obviously without the OGL Pathfinder would not exist, but Paizo is a bit stuck now. Their hardcore fans want crunch and aren't interested in 5e, but the growth market is in material for 5e. I would think their best bet would be publishing 5e versions of their APs combined with continuing to support original Pathfinder for the legacy fans, rather than a new edition of PF.