The bigger question is:
Would PS3 if Sony didn't need to push it because they own the standard?
To me, yes they would've. The PS2 sold a lot because it was also a DVD device when no other game console was. Sony was trying to capitalize and repeat that success using Blu-ray.
And it worked to a large extent. The major selling feature I heard on the net for the first few years was that PS3 was the device to buy if you wanted a Blu-ray player. In part because it had the best Blu-ray player and in part because Blu-ray players were pretty much the same price as a PS3.