You don't get your stuff back up immediately after doing a counter notice. You get to wait 10 days. (The service provider might be convinced that your use is fair or that an identification error was made and put it back sooner, but that don't have to and they assume some risk if they do.)
The process should really be slower. The site owner should get some time to respond before their site is blocked and if they counter notice it should not get taken down until there is a court order.