There is a difference between importing and sweeping, importing basically add the private keys and the address associated with it to your wallet but sweeping will send the funds from that paper wallet to one of your existing addresses (which will cost you fees in this case). I know that Mycelium and Coinomi allow sweeping only.
Thanks, thats what i was wondering. I was planning using coinomi to sweep it but ill just import it using core instead since that will cost nothing.