There’s at least one that cannot be considered a consequence of implicatures attaching to sentences (or maybe phrases): You can cancel implicatures (“you can do this or that—in fact, you can do both”), but not connotations.
It’s instructive to ask the reverse question: Is there any important commonality between implicatures and connotations other than that neither is part of the literal meaning? I think the answer is no.
There’s at least one that cannot be considered a consequence of implicatures attaching to sentences (or maybe phrases): You can cancel implicatures (“you can do this or that—in fact, you can do both”), but not connotations.
It’s instructive to ask the reverse question: Is there any important commonality between implicatures and connotations other than that neither is part of the literal meaning? I think the answer is no.
I had been primed by this post when choosing the word connotation, but I didn’t remember Footnote 0.