I also think it depends on which Frank. Bernthal's Frank? I think the highly disciplined, almost cartoonishly honorable Snake Eyes could find common ground with him but wouldn't like, want to hang out and be friends. I think they both know they're weapons in human form; but Frank is resigned to being a weapon and nothing else, and Snake Eyes feels a pull of humanity that won't let him go Full Frank, though he is as much if not more so honed into being a perfect human weapon.
Snake Eyes absolutely wouldn't kick Frank off the bus on the way to a fight, but look at how alone Frank is (especially comics Frank - I say this as someone who finds Bernthal's interpretation INCREDIBLY humanizing and full of a violent grace) vs. how beloved Snake Eyes is by everyone around him. Snake Eyes' friends say a lot about him, whether it's Tommy or Stalker or Scarlet or Rock n Roll or whoever. He's so often written as being beloved. There's a softness he can achieve Frank can't. Frank struggles with finding human connections. (Now I want to do a whole deep dive on how interesting it is Snake Eyes learned from men who called themselves the Hard Master AND the Soft Master.)
I think the Wild West/Idealized version of things is a really good point, and why I love when GI Joe gets f*ckin WEIRD and get just a bit uncomfortable when they hew too close to reality. War sucks, killing sucks, violence sucks (and I say violence sucks as an ex boxer who know show addictive violence can be, like scary how those endorphins hit!). But like, give me Snake Eyes with his ninja commando ridiculousness, or Flint in his 1950s movie star playing a soldier look with a million dollar smirk, or ridiculous animal companions like Spearhead and Max, or dayglow silliness like Sci-Fi, or Shockwave looking like a TV producer's imagined look of a SWAT team, but when I look at the action figures for Breaker and Clutch, I get an uncanny valley feeling, because I don't really want an action figure who reminds mee so much of, like, my cousin or classmate who spent ten years fighting in the desert. I don't want it to lean that close to reality. Also why I did not buy the action soldier generic figures (too real) but will buy a couple of green shirts (just unrealistic enough).
I think that's why I'm so addicted to the retro figures in this line. Some of the new figures, if they don't go full sci-fi splash like Wave 1 did, can be so skillfully done to evoke reality that I like the old-fashioned cartoonishness the retro versions offer. Or Tiger Force. It adds a really fun layer of playfulness between reality and toy soldiers.