For starters, do you not see the huge logical leap going from naming a couple of executives who are close with Putin, to saying that ALL people in Russia with money or power are doing nothing but following Putin's agenda?
What about the minor detail that the oligarchs existed not only before Putin, but before Yeltsin, his predecessor, as well (not that they didn't grow under Yeltsin, but still)?
Most documentation that even passes a smell test of being reasonably plausible also suggests that the relationship was inverted - the oligarchs had more influence over Yeltsin than he did over them. When Putin took power, he was known for getting rid of many of them. The interesting thing about that, is that can be interpreted charitably or uncharitably - reducing the level of corruption and oligarch abuse of the government would be a positive thing, but banishing those who don't get in line (where we are assuming "getting in line" means they are being asked to do bad things, not follow laws) seems to be the default assumption in Russia's case. As far as I've seen, there's really never been anything to substantiate the uncharitable narrative, but so many people who have never been to Russia or spoken to a Russian person have themselves thoroughly convinced that they understand these secret "arrangements".
The whole idea that he could be a mafia boss and the CEO of literally everything is just crazy thinking, yet many of us westerners seem to just eat it up, and anything shady that happens even close to the government is always personally attributed to Putin's orders. It'd be like calling Trump a mafia boss because some random cop took a bribe in some city in the mid west. The idea is laughable, and the fact that we got here warrants a little bit of self-reflection on our part.