Morse didn't conceptually extend encoding to self-referential symbolic systems. Morse's insight was pure communication of symbols devoid of meaning.

Important but nowhere near the same.

Today, general symbolic encoding is viewed as trivial. Every symbol we have is pervasively encoded as bits, so of course entire expressions are. So Morse's code might seem comparable.

But what Gödel invented went well beyond Morse. We are just jaded with regard to his insight now.