I'm interested to know which experts made such a prediction, as Bitcoin will operate entirely within the internet, and therefore couldn't be "bigger" than it.
However, it's possible that they meant (or said) that it will cause a bigger revolution than the internet-- this can be argued either way since we're still a good 10 years out.
The truth is, Bitcoin, and cryptocurrency in general, has the potential to cause the biggest revolution in human history. I mean, who ever thought we could fundamentally change money? And what else would be bigger or better? (Provided that the change is for the better, of course).
I would argue that it's definitely for the better. I don't have a problem with banks-- as a person who understands their necessity and can see the whole economic picture, I don't tend to despise them as much as everyone else seems to. Still, I can see that cryptocurrency is just better. Besides, think of cryptocurrency as just a new currency-- governments will still keep their own fiat currencies (or they might choose to make their own cryptocurrency).