I know it's a silly question and I don't know how is works entirely but only some of it. Won't it effect my account?
Suppose a banned user using a VPN for ban evasion. I'm also using the same VPN. Is there any chance to get connected with his ip or anything? Or get connected to a ip which is already blacklisted. I wouldn't know that.
Do not be afraid or worried to use Tor. It is nit connected to a banned account. The only way someone can be affected is when he is registerking, the person may have to pay evil fee.