Three factors makes me say yes, he should start for Canada.
1) Price allowed 2 goals during the whole 2014 Olympics tournament. TWO GOALS. DURING THE WHOLE BEST-ON-BEST TOURNAMENT.
2) Unfortunately Canada doesn't have a whole lot besides Price. Fleury, sure, but he's actually older than Price, and has a much poorer track record internationally. No real reason to go with Fleury instead of Price. Holtby is obviously over the hill. There are a bunch of younger goalies like Hart and Blackwood, but they havent been good enough that you can justify not going with Pricer
3) His first round against the Leafs. I mean sure you can argue that he has been inconsistent in the last couple of years and has had some pretty bad stretches. But he's had a ton of injuries and the team ahead of him has been bad. If he is healthy, focused and playing behind Canada's defense, he's basically impossible to beat, as we saw.
What happens in the beginning of next season will ne very telling. If Price has a meltdown, I could see them going with someone else. But let's be real, the Olympic tournament is another beast than the regular season. Once they arrive in China, it's a whole new ball game. I honestly don't see anything other than injury keeping Price out of the starter's net for Canada.