Given that the vast, vast majority of military personnel serves in administrative or support roles (signals, logistics, engineers), I really don't think it does. If you're frontline infantry and does something worthy of respect and recognition, then that's another matter entirely. Just as with anyone else. Simply signing up or being conscripted does not mean you automatically deserve more respect than someone who chose a different career or wasn't conscripted.
There are certainly people who are offended by anything, but I don't think there's a big percentage of them, and certainly not enough to just label a whole generation as snowflakes. I mean, you get labeled a snowflake for calling out sexism and bigotry these days, and you get accused of being an SJW or of virtue signaling if you stand up on behalf of victims of inequality. So at what point do you go from just being a decent person to being an easily offended snowflake? There is no clear line that separates the two, and people have wildly different standards for when the terms apply. Even here, on RedMenaceCafe, you'll find people throwing those terms at others for simply saying that the Lukaku chant was problematic, or arguing in favour of United having a women's team.
I guess what I'm getting at is that snowflake, and the other terms mentioned, don't really invite reasonable debate, and are needlessly inflammatory terms to use if you're looking to have any kind of meaningful exchange.