The religion really didn't change that much other than the orthodox Catholic Church being able to show back up without getting executed.

Nonsense. The orthodox Church is as big a power in Russian politics as it was in Tsarist times. They pretty much control the social policy of Russia. For example, the draconian anti-LGBTQ+ laws are, if not religiously motivated, at the very least using religiously based arguments to justify the bigotry. That's a far fucking cry from "show up without getting executed"!

The state held properties got bought up by oligarchs so that's a little different from traditional fascism where private companies are controlled by the government and vice versa.

Nope, oligarchic capitalism is very much a pillar of modern fascism. Same in Putin's Russia as it was in Bolsonaro's Brazil.

In the current case the oligarchs tremble in fear so the traditional ties between private companies and government that one finds and fascism doesn't really work in this situation.

Couldn't be further from the truth. The oligarchs (along with the church) are the power base of Putin, gaslighting the public and keeping him in power no matter how much he abuses the people. Far from trembling in fear, they're living in a malevolent symbiosis with Putin's government.

So calling it both fascist and a theocracy isn't in keeping with the traditional meaning of either word

Yeah, it is. I've already explained the theocratic element and, other than oligarchs playing a different role, it's fascism as it always has been.

In conclusion, you're talking absolute bullshit and should really learn more about reality before you make assumptions that are completely divorced from it.