I was good at Latin though the grammar and Caesar's damned Gallic war bored me to tears and I knitted sweaters under the table during the lessons. Later in life I hardly ever missed the quickly forgotten knowledge of its intricate syntax, the dreaded "sequence of tenses" and other bother of that kind.
To know the vocabulary and its flexion was often a great help for learning French and English, and for guessing or remembering what the terms of various professional jargons mean.
I'm German and do not know how Latin is taught in America. As for our country I'd recommend to skip all this dull reading of Caesar, Cicero and Ovid and replace the subject "Latin" by something like "Classic vocabulary" to teach the words and flexions of Latin AND Greek, along with a mimimum of grammar. I could also imagine "International vocabulary" where the connections of Greek, Latin and modern languages are shown up.