Unless you definite the premises better, you could just as easily do a:
Censorship's intent is to suppress information
Copyrights intent is to control ownership and distribution.
Supressing information and controlling ownership of said information are not the same.
Yeah it's bad but it's late
But you need some better premises.
While copyright may lead to censorship, and both might be reprehensive. They are not the same. That'd be an appeal to probability.
Maybe if we try something less ambitious and build on it:
Copyright has traditionally lead to increased costs for consumers
You're a consumer
Copyright leads to increased costs for you.
I'll think of something when I wake up.