The 'Je Suis Une Dolly' trio insist they have nothing in common with their pop rivals and hope to maintain their outspoken nature throughout their career.
Singer Brooke Challinor said: "You should wait and see if media training turns us into The Saturdays."
Her bandmate Lucie Kay added: "It's not likely. We'd lose the will to live. If The Saturdays joined our band then they'd be ripped to pieces."
The group - also comprising Sophie King - also blasted 'Biology' singers Girls Aloud.
They added: "They're unreachable with a look you could never get close to without a huge entourage."
The group first tasted fame on British TV talent show 'The X Factor' in 2006 but insist they don't want to be associated with the show.
Lucie explained: "Sharon Osbourne told us if we played on the 'cutesy' thing, then girls wouldn't feel threatened by us. Hence if you watch the clip, we've got no make-up on, flat Ugg boots and denim skirts and pink T-shirts. And we're singing covers of Sugababes and Spice Girls songs.
"A lot of people who have been on 'The X Factor' try to capitalise on the connection. We're trying to put it behind us."