Frankly, I was under the understanding that they didn't want too much connecting Fallout 3 to the previous games. Making the move all the way to the other side of the country, and then advancing the timeline, etc - I always saw that as a purposeful attempt on Bethesda's part to remain separate from the rest of the series. I have a feeling they were more interested in working on an engaging IP than trying to be seen as following in the previous titles' footsteps. (ie, they wanted to make a game in their vision of the Fallout universe, but also wanted the freedom to take things in the direction they wanted to.)
It's likely also a very fine line. And we see that within these forums, as well. There are those who feel there wasn't enough new concepts in Fallout 3 (what with bringing the "Big Three" over to the other coast.) And on the other hand, if they didn't bring in enough references, characters, and factions from the previous titles - you'd have those who would be wondering why they'd bought the Fallout IP at all, if there wasn't going to be "anything" in common with the older games.
It's likely also a very fine line. And we see that within these forums, as well. There are those who feel there wasn't enough new concepts in Fallout 3 (what with bringing the "Big Three" over to the other coast.) And on the other hand, if they didn't bring in enough references, characters, and factions from the previous titles - you'd have those who would be wondering why they'd bought the Fallout IP at all, if there wasn't going to be "anything" in common with the older games.
Forgive me for being rather gruff, but if Bethesda didn't want too much to connect Fallout 3 to the previous games, if they didn't want to follow the direction the series that it was going, then why the hell did they call it Fallout 3? It's like someone writing an eighth Harry Potter book, but not having Hogwarts or Harry Potter, but having Lord Voldemort and Wizards and having them use guns. Not the best anology, but that's pretty much what's going on.