My cousin lives in Russia and he also obviously agrees that current state is not good, from what he told me, CPRF is the biggest opposition(and biggest communist party) there is to Putin, but for some reason they agree with him on some policies. For LGBT, it's completely unfair to criticize him on that considering that his stance is the norm in even most of the communist parties since Stalin, it was the same during USSR, CPRF has the same stance, KKE has same stance and it was the same during Tito in Yugoslavia here, so pretty much Eastern European standard. As for Illyin... yikes.

And he sometimes praises Stalin for some reason(even while shitting on Lenin), although he had some interesting takes recently like that time when he said that nationalism is the first stage to nazism since it's based not only on love for nation but also on hatred for others. So it's really hit or miss with him.