My understanding was that Belgium has always been big on a huge variety of non-traditional beer styles; lambic beers, champagne beers, dubbel, tripel, quadrupel, etc. I would think that would be a much closer and longer-term influence than the craft beer movement in the US. I've never been over there but really want visit those two countries specifically for the beer.
One of the things I really like about beer is that its moderate shelf-life means it doesn't transport well. Everyone who goes to Ireland has some sort of variation of, "I don't even like Guinness, but it's amazing and completely different over there." It doesn't help that beers like Newcastle, Becks, and Heineken use clear or green bottles that ruins them more quickly. I've heard anecdotes from Australians who get their hands on American craft brews and were disappointed by off flavors--but later find out it's because it was skunked or stale in transport.
I feel like that moderate shelf life keeps local beers local and makes traveling to new areas interesting.