As stated by Le Monde[1] Kohlchan was hosted on OvO Systems, which was owned by Vincent Canfield. If you can't read the end of the article due to the paywall, you can use the reader mode of Firefox.
You can also see that cock.li is hosted on OvO Systems on the footer.
From what I understand OvO Systems runs a VPS host (cockbox.org) and after Krautchan shut down, Bernd rented a VPS on cockbox (since they allow anonymous payments) to host a Krautchan successor named Kolchan. So yes, OvO Systems hosts it, but the admin is not actively involved, similar to how the Hetzner admins aren’t involved in Plex movie warez services being hosted on Hetzner dedis.
Cock.li on the other hand is run by the OvO systems owner himself.
And here I am trying to give Capital One some good faith. I've called them three times since I've been here and they insist that MasterCard forces them to do this.
Just reaffirms my suspicions that I need to shop around. I'm traveling and putting enough money on this card to start looking at ones that actually charge a fee and have decent "rewbates", I mean "rewards".
Less sarcastically, thanks for the heads up. I'd be greatful for any other hints of people that might not hate their credit card provider they want I do.