Carney's words came in response to the Spotify board member's SXSW prediction that the streaming service will eventually generate more revenue for the music industry than iTunes.
During a recent radio interview with WGRD in Grand Rapids, the drummer was asked whether he believed the Napster founder's claims. "No" was the response.
"Because he's an asshole," Carney explained. "The guy has $2.5 billion he made from figuring out ways to steal royalties from artists, and that's the bottom line.
"You can't really trust anybody like that," he added.
"The idea of the streaming service - like Netflix for music - I'm totally not against that, it's just that we won't put all of our music on it until there are enough subscribers for it to make sense," Carney continued.
The show's presenter Dave Kim asked Carney for clarification on Spotify's royalty system: "I think what I read is that one song has to be streamed about 66 times to equal one 99-cent download royalty-wise."
Carney responded: "It's all kind of confusing - on a 99-cent download, the royalty that goes to the band is about 12 cents.
"So that's what they're doing. 66 plays will get a 12-cent royalty but then that goes to the label, and part of that is paid out to the artist from that.
"You can't make money on that," he continued. "Trust me, Dan and I like to make money. If it was fair to the artist we would be involved in it, but it's not."
Carney went on to suggest that if the market became large enough, iTunes would step in with a streaming service of its own that would be more beneficial to artists.
"I honestly don't want to see Sean Parker succeed in anything, really," he said.
"I imagine that if Spotify does become something that people are willing to pay for, then I'm sure iTunes will just create their own service, and do it themselves. And they're actually more fair to artists."