The Amiga was introduced at a time when less than 1% of the world's population had use for computers in general. Today, with that percentage much higher and trends taking hold much faster, the Amiga, with technology even marginally comparable to today's standards, would likely flourish.
Think Johnny Depp instead of Andy Warhol and Lady Gaga instead of Debby Harry driving the hype and you might get a feel for what the enthusiasm could be.
I don't think the technology would necessarily have to be better than the competition. New products with a decent introduction tend to do well regardless of real technical merit.
But then again, the geniuses in Commodore's front office would again find a way to squander any success gained, and the Amiga would fizzle after its short rise to fame.