No. The method of upload has no bearing whatsoever on copyrights. What is important is that the owner of any copyrighted material has a way to remove it with a DMCA request.
I actually have to improve my information on this. Thanks for remember.
By the way, today I was digging into satoshi's posts and noticed this thread: Idea for file hosting and proxy services. If satoshi is alive, he must be proud of you for creating a TalkImg. Your product is different but still would make him happy, I bet.