I saw one video produced about by the Base a couple of years ago and nothing has come up in the dissident right, nationalist nor neo nazi circles about them. No mention. Defuct groups like Atomwaffen come up every once in awile but no the Base.

Since the only serious mention of them is on government databases, NGOs and wikipedia I'll assume the Base is just a singular guy with a newsletter. It could be an actual neo-nazi or a fed.

The Base is a neo-Nazi organization founded in 2018. The group was primarily active in the United States and promotes a nihilistic and accelerationist rhetoric— an ideology embraced by white supremacists who have determined that a societal collapse is both imminent and necessary. They advocate for direct action, especially in the form of violence, to create chaos, incite a race war, and establish a white ethno-state. The Base has distributed manuals for lone-wolf terror attacks, bomb making, counter-surveillance, and guerilla warfare to its members. Members of the group plotted to carry out attacks at a January 2020 rally in Virginia, United States. The group also organized training camps in weaponry and military tactics around North America. The network specifically seeks to recruit individuals with military experience so that they can leverage their training.

Based on that timeline it's some guy who was involved with the Iron march website back in the day. There are like a couple dozen of these 'lone wolves' out there. I'd say the Iron march is what is radicalizing Nationalist Russians. This is all decentralized. Placing a name on it like the Base does not mean the base is a real organization.