Well, here in ole Sweden there is government funding via the departement for arts and culture to be applied for for the performance of new compositions by swedish composers. Especially some ensembles make a part-time living through funding like this. So yes, it does exist, and that's good and healthy! For let's face it, not even now canonized ole time greats like Morton Feldman would nowadays, post-mortem, be able to pay his rent through concert ticket sales alone. He would more likely owe the organizer money afterwards. Which is not much different from how it's always been, even in Chopin's days.
Me personally, I'm a sucker for anything goodly composed, old or new, that I can bite my teeth into and work my ways through as an interpreter of notated music, which in turn is my training, profession, skill, lust & drive, and in some ways "talent". Humbly speaking of course.

But I also beleive that it's our duty as performers to be really persuasive in our performances of contemporary music, i.e to dig our hearts out in order to show the audience the beauty of the music we are playing for them. And this is as true whether we are playing Per Mårtensson, Benjamin Staern, Schnittke, Boulez, Berio, Schoenberg, Brahms, Chopin, Beethoven or Bach.
Read the score, understand it and bring it out!