According to the Independent Spirit Awards' definition, if a movie's budget is below $xxx (I don't remember, a few million, I think), it is eligible for the award consideration. Of course you can also argue that this is just the Indy "spirit".
I don't know who put up the money to make Hotel Rwanda. UA and LSF may have, but then they might have only invested in the DISTRIBUTION of the movie after it was made. The marketing and distribution often require more cash infusion that making a movie, but the results are often increased audience and box office.
Not all small-budget movies are made on money from the filmmakers' own credit card and John Singleton's own wallet. Is a movie "independent" if the budget is small but the money comes from a big studio? Is it "independent" if it's made in the writer/director's parent's basement, but gets picked up by a big studio and distributed in all major multiplex? Is Sideways independent? Crouching Tiger Hidden Dragon? Little Miss Sunshine? Foreign movies with money from BBC? French 4? Are they "big studios" or small investors?
If we agree that movies made on the money from Miramax (owned by Disney) or Fox Searchlights (20th Century Fox) more or less qualify as "independent," then Hotel Rwanda definitely qualifies too. But I agree that it is often ambiguous what is "independent." For example, Clint Eastwood's Letters from Iwo Jima was produced by Paramount's money (or was it WB?), but its budget was so low that it qualifies for Independent Spirit Awards.
I can see the reason for ISAs to restrict not the investor but the budget for their selections. Even if large studios put up the initial money, the size of the budget is a strong predictor of how much creative control is left in the filmmakers' hand. In the case of Hotel Rwanda, I don't know for sure but cannot detect obvious trace of "big studio"'s influence in creative choices.
Of course, there are many many small-budget movies that ARE made in basements, shot on DV, and financed by credit cards that STAY small and never get anybody to buy them. But I'm very reluctant to limit my definition of "independent movies" to these movies. There is a category in ISAs that specifically consider ultra-low-budget movies (below $100,000 or something), like Primer from a few years back.
Back to Hotel Rwanda, I read somewhere before that, when the script was being circulated around, some big studios were indeed interested in making it, but demands that Will Smith or Denzel Washington be the lead. Terry George decided not to go for it. I can't be 100% sure, but I don't believe he would intentionally turn down a bigger budget if his creative control of the project can be guaranteed by a big Hollywood studio.
风格上来说,卢旺达旅馆是大众电影市场里的INDY,但是已经算挺polished
风格上来说, John Sayles' movies have VERY CONVENTIONAL narrative approaches. Nothing fancy or twisty or flashy. But he is the godfather of independent movies. Nobody is more "pure" than he. A conventional realism is often the most effective way to tell a story, even though it doesn't have the "look how clever I am" zing to it.
However, I'm not trying to dismiss nonlinear methods or narration. Look how well Tarantino and Almodovar and Egoyan do the nonlinear narratives. Again, if it's well done, it's well done. When it sucks, it's silly and awful.