Sort of.
It’s not a secret that Ukraine is vital for the ground defence of Russia, but the Ukrainian people are pro-EU, and not from propaganda. You might well remember that their government was essentially a puppet for Russia until they were ousted. So if Ukraine is radicalised it is odd to think that its because of European propaganda- more likely they got tired of their masters.
I fully accept that Putin thinks of NATO as a threat to Russia, and NATO is at the door.
Its also entirely true that the border countries (Estonia for example) have major anxiety regarding a Russian invasion, and actively seek NATO membership to avoid that.
However, flying aircraft into sovereign territory (as Russia often did and continues to do to Sweden) is not the behaviour of a threatened country, they are the ones making the threats, constantly testing.
Their expansions into territory under the guise of “going where there are native Russians” will necessarily conclude with border regions being even more hostile to any native Russians wanting to settle. Again, in Estonia, the city of Narva is almost entirely native Russian; but they don’t want to be under Putin. Putins actions make Estonians wary of this fact and makes the Estonian government wish to integrate these people more instead of letting them live their lives.
In the Ukraine this was true too, thats why there was such a push to get people speaking Ukrainian, but Putin saw that his claim to the territory gets weaker over time and decided to invade.
If you understand the incentives of all involved, it is plain to see that Putin is the architect of his own misery here.
Does NATO actually threaten Russia?
It threatens mobsters racket profits, but it will not start any actual fight.