Judging by the number of famous people who have already set up accounts here and regularly reply, I would not be surprised if V.V. Putin will do so too and will answer your question.
I'm not a telepath (and no one is a telepath), but if I ruled our country, I would have such a specific feeling that I can really change something, and of course for the better (besides, as I understand the best), to do something really cool, good, so that everyone is happy and no one leaves offended. Imagine that there are many millions of people and you can make their lives better. It feels awesome.
One problem. There will be no gratitude. People will take all the good for granted, and all the mistakes and mistakes (and all the shortcomings and problems) will be blamed. And this is very insulting. It's so annoying that sometimes you give up and you want to spit on everything and say "yes, live as you want, you damn fools." https://www.youtube.com/watch?v=Hx-dNFE7rOg
But this is all me, of course, and what Putin feels there - you have to ask him.
Well, no one will ever know about this, even if these feelings are somehow expressed, and can be separated by Putin himself, from his own feeling of hunger, the feeling that his shoes are wet.
Well, but seriously, it seems to me that at this point in time the concept of a feeling of "running the country" is simply absent from Putin, well, how I do not have the feeling that I am now typing on the keyboard. Typing is a routine, I'm interested in the meaning of the text, but not the process itself. For Putin, he is interested in individual solutions, namely individual ones, but not the process as such.