A little bit as a side effect, but like the patent law change it is targeted to imports.

The Russian Ministry of Economic Development proposed relaxing piracy legislation earlier this week to circumvent sanctions. “The possibility of lifting restrictions on the use of intellectual property contained in certain goods, the supply of which to Russia is limited, is being considered,” said the Ministry. “This will smooth out the impact on the market of breaks in supply chains, as well as the shortage of goods and services that arose due to new sanctions by Western countries.”

However if they unblock a tracker site, obviously people could share whatever they want including Russian movies.

When it comes to Hollywood movies, it looks as though Russian people will be free to pirate them, and Russian politician Dmitry Ionin has even suggested that the country may unblock the torrenting suite RuTracker to help Russians pirate Hollywood films. “Since many Western studios have refused to release new films in Russia, the parliamentarian believes that thanks to the torrent tracker, users will be able to watch Hollywood films,” reports Gazetta.

Also a natural outcome of a trade war is that other countries may decide not to recognize Russia's copyrights.