Not really Anthony.

It can be set up so scammers cant hide their activities.
You can introduce the community blacklist for scammers that forbids them to use this option.
Since Steemit.inc has delegated a million steem to @steemcleaners. You could basically dismiss this feature to any steemcleaners downvoted authors.
Actually implement the abuse response system into the steemit frontend and give abuse fighters legitimacy and power to remove features.

This change would be empowering to everyone. It just depends on how you do it.

Id keep downvotes still visible. And downvotes are really what matters.
You wouldnt be able to hide abuse.. Not really.