"Quagmire" is usually used to denote the US military occupation of a country whose population detests us and uses guerilla tactics to kill our soldiers and civilians.

And where there's no "exit strategy" because there's no plan to "exit". (Building an enormous embassy, and all that.)

Haiti, to use the technical term, is a mess, but it doesn't seem to be a "quagmire" in the sense you are facetiously using the term. US soldiers and civilians aren't being killed, there is no need for an exit strategy, all that sort of thing which really does mean "quagmire".

Now if Haiti had oil, it could become a quagmire.

Might become one for the French. Dunno.

Arf