In terms of Minecraft it's not that the game might not have been a success on consoles at the start... it's that it could NEVER HAVE EXISTED on consoles at all.
Minecraft was an indie game on what was essentially early access, built on the premise of community driven development and heavy iteration. Hell there was almost no marketing money spent on it, it grew purely out of word of mouth from the PC gaming community*. Neither Sony nor Microsoft were anywhere near ready to handle that type of new market.
PC is where a lot of innovation in the market place occurs, it's not just where innovation in game design tends to happen. Almost ALL of the bullet points in the 2012 E3 announcement of the new consoles were essentially about making stuff that had been happening on PC for years, finally available in the console space.
* Also why it managed to sell, eventually, more on the consoles combined - it wasn't until it made it to consoles that marketing became huge for that game - often making it sound like it was a console exclusive. It's not difficult to understand why a game heavily marketed as being on console, and ONLY heavily marketed once it hit consoles, is going to outsell a version of the game that is NOT marketed and relies pretty much exclusively on word of mouth, and a game that managed to completely sidestep one of PC gaming's most popular digital market place to boot.
That also doesn't change the fact that the PC version is the better version of that game, nor that the PC version is the most profitable version of that game as it was almost entirely sold digitally and directly form Notch.