A better comparison would be that both Jedi masters in the 1st film of each trilogy resent being part of those films. Although Guiness came back for Ep5 and 6 and Neeson stayed away.
Why would you call QuiGon useless, though? If anything, I think ObiWan was the most useless character in Ep1. Yes, even more useless than JarJar.
Obi-Wan was useless, but he was one of those characters that had to be there. Qui-Gon was useless in that everything he does in the movie could have been done by someone else, namely, Obi-Wan.
Though, that way you don't get to see Obi-Wan as a Padawan, which would have been a shame. But it still doesn't defeat the purpose that Qui-Gon was a very generic plot character (though Neeson didn't play him generically, he was brilliant).
I think a good way to measure a character's worth to the plot is the consequences of their death. For example, we were discussing in another threat the importance of Rachel in TDK. When she dies, both Bruce and Harvey have their worlds changed, and the rest of the movie is very different because of that. And I'm sure that her death will also play a big part in why Bruce is the way he is at the start of TDKR.
The only consequence of Qui-Gon's death, on the other hand, is that Obi-Wan was sad and Anakin because his padawan. But since we never really got to see Qui-Gon teach Anakin anything (besides give him some words of wisdom... about midichlorines

), the impact of Anakin losing him as a teacher isn't felt. We as an audience are sad because we like Qui-Gon as a character, but the world continues to function perfectly without him as if nothing happened. Again, compare to this to Rachel where everything changed.
Now, I'm not saying that Qui-Gon's death should have had some galaxy changing ramifications, but it should have been a bigger deal. This was the first Jedi killed by a Sith in a long, long time, yet it's not handled as such. Still, I love Neeson as Qui-Gon, and I'm glad he's in the movie. I just wish his character had been given something more important to do than die, and that his death actually had some lasting impact which was reflected upon in the sequels.