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Doesn't it make sense that, if you were taking a drug that reduces morbidity, you'll get increased morbidity if you stop it?

Not if having a heart attack within 1 year at a higher rate is an co-morbidity factor when the primary treatment was for obesity or diabetes (not stating that obesity and heart disease are not positively correlated).

To use a dense analogy: if I stopped brushing my teeth I would not expect to die of gum disease.

I don't think you read the study. The people returned to their pre treatment risk profile after ceasing treatment

You are misunderstanding the study (largely because the article heavily misrepresents it, would be my guess)

They do not see an increase against their pre-GLP1 baseline risk - they see a reversal of the cardioprotective benefits the drug provided while they were on it.

You failed to understand the results of the study and quoted a passage that does not in any way support your assertion.