That's not really creativity though, that's just wanting things that are similar to be the same. Our brains are really good at this sort of thing, actually. 

And, realistically, on this site, we have to use the main canon as at least a baseplate for discussion, or there's no point of reference and all discussion about canon is pretty much useless. and if you just change everything that you don't like, then what's the point of following it?

I can go write my own story, but then I know everything that happens in it. Meaning it's not the same as a story somebody else wrote? See what I'm saying?

Don't get me wrong, I love stupid complicated theories for story based media. even if hardly any of them are plausible. but this isn't a complicated theory, it's basically: "Look! They have the same name! connections!"

I don't mind the idea that there might be a connection (I've seen that kind of thing pulled off well), though it bothers me how some people seem to think that's the only way the G2 story could become interesting. If the G2 story is really so bad, wouldn't tying it to G1 just drag the G1 story down with it? And if it's not, why can't it become interesting on its own merits?

What makes you think that, for these people, the only way to make G2 interesting is by making a connection to G1? 

What makes you think they have that opinion? They're people - there'll of course be some similarities, but also a lot of differences.