His channel, and the CrossCounterTV channel, are both still intact.
His global emote was removed. There are probably 5 billion versions of it on BTTV.
And yes, there is equivalency. The decision to ban based on (obviously) spurious DMCA notices sits with Twitch. The decision to ban based on violations of their community standards code(s) also rests with Twitch. Both are usually overturned. In this case, the channel didn't even get banned, it was the removal of a global emote, which is entirely in Twitch's wheelhouse. They decide which emotes are available globally.
There is literally nothing stopping anyone from using PogChamp on BTTV, so this is (once again) a bunch of crybabies whining about nothing.