These are not the same. Russia is an autocratic government with Putin at the top basically making all the calls, so Russia's reasons are his reasons. NATO is a coalition of countries with individual actors having their own motives and interests, and furthermore as democratic countries their leaders to some extent reflect the will of the people who elected them. It is tricky saying what "NATO" does and does not care about since it is not an individual. But there's every reason to believe that Joe Biden, Emmanuel Macron, and so on do care about culture war issues and so on.
European leaders frequently give speeches about protecting democracy in Ukraine, and you'd have to be quite cynical to believe it's all an act, but even if it is, it's meant to convince their constituents they are answerable to who do care, so it's still reasonable to say that "NATO" as a collection of countries does care about democracy. This doesn't mean of course that they don't also have geostrategic and self-interested motives.