It really doesn't. The strategic value is in securing the coast for good (Crimea was still kinda exposed), clearing up the wild-west they themselves created around Donbass, and providing a new avenue for gas pipelines, effectively neutering any Ukrainian leverage over Russia forever and ever. The NATO-expansion argument is just propaganda, not even the Russians really believe it.
I don't think NATO-expansion argument is propaganda, but I do agree that that's not the reason for Russia's actions.
That's mostly because in terms of NATO war isn't allowed, thus generally speaking there's isn't a lot of reason to be scared of the huge army that NATO represents.
What's really annoying to me as a coder and gamer is that, strategically speaking what Russia did was logical and expected. I'm speaking from a point of view of if this was StarCraft, EU4, CK2 or Civ5. And from that point of view, my biased monkey brain is telling me that if US left the EU alone, there wouldn't be a possible WW3 brewing...
Mildly interesting note, my father is studying Multinational law thing and we were talking about the role of NATO, the function it serves. We got to that topic because my argument was that my country (Slovenia) should either stop having a military or focus on having few but very specialised units, because as it is now, it's mostly just a waste of money, that's because we've got a population of ~2 million and about ~4-7k military units, depending on how you count them. Regardless, it's a number that compared to other countries is not even note worthy. Which is why my argument was that our military in its current state is a waste of money. BUT because we're so small we don't really have air forces, which is where NATO comes in. Because we don't have air forces our air is protected by currently Hungarian forces and the ones from Italy a few years ago.
What I was trying to find out with the conversation with my father was, if there's a way to gain the protection of NATO without having an army. But sadly that's not possible, because too be in the NATO, you have to have an army... There also UN which could protect you, but there response isn't guarantied and the response time is much longer then NATO. Thus ima way you're kinda forced to have an army...
I would still prefer removing our army, I mean... We've got pretty lakes and nice mountains, also good wine, why would anyone want to attack us? :D
The US continued to keep NATO around, despite the end of the Cold War in the '90s, because it's a huge program for the American defense industry. NATO membership requires a country to have capabilities with certain standards, which largely force them to buy American weaponry. As such, they would never consider full membership for an army-less country, except maybe in very exceptional circumstances (the Vatican? Lol).
But I agree that in the modern world, conventional armies tend to be a massive waste of money. It's just that occasionally a Putin-level threat comes along, and at that point you'll be glad you have them.
