He is mainly concerned with the speech of Russian citizens, especially if they are being critical of himself or the Russian government. If this website became very popular with anti-Putin activists in Russia, maybe he would take issue with it. But even then, he could just block it at the ISP level in Russia rather than try to get it shut down for everyone. That appears to be the main form of online censorship in Russia. https://news.engin.umich.edu/2019/11/how-russias-online-censorship-could-jeopardize-internet-freedom-worldwide/

I don't he think minds it much if people in other countries criticize Russia online. If anything, he might like it when Americans are excessively critical of Russia because that fuels division in the US. Liberals talk a lot about Russia being a threat and Conservatives are sick of hearing "Russia, Russia, Russia".

Russia's preference for instability in the US is part of what makes them a safe host for a mostly English speaking free speech site. They'd be happy if some kind of civil war and/or revolutionary war happens here, so they would be fine with Americans calling for violence against politicians or using racial slurs. That sort of speech is the main kind that has gotten free speech platforms in trouble so far.