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Alright, let's talk seriously about the fates of the Snakemen. Spoilers for 200X for those who are watching.
Classics lore would have you believe that every MOTU cartoon can fit in together, which is a neat idea, and the Snakemen fit into it nicely.
If 200X is chronologically the first then we have our origin for the Snakemen and the ultimate fate for 2 of them.
>King Hiss bites the big one
>Snake Face petrifies himself and ends up on display in Snake Mountain, he never appears again in anything like Filmation
Then in Filmation's continuity we see Kobra Khan with the Evil Warriors, and Tung Lashor & Rattlor have since joined the Horde. It's an easy leap to assume they would join other factions once King Hiss died.
Lastly that leaves Sssqueeze. He's MIA in any other animation, and he's been both a member of the Evil Warriors in the minicomics and a Horde member in the Star comics. I'd like to think he met a gruesome end or could be leading a smaller faction of leftover Snakes.