No. Latin was the language of academic instruction from Antiquity. When you entered a monastery, if you didn't already know it, you were taught it from the Bible, and all theological texts were written in it, as well as secular edicts, letters, and charters. When the cathedral schools and universities first arose in the 11th century, all instruction was in Latin and on Latin texts.

Not only did the final break of the Romance languages occur relatively late - some Italians could probably understand spoken Latin without training as late as 1250 - but it also was a convenient universal. Everyone who had academic pretensions needed to know it, a truth which was still in full strength by the time the hard sciences were in development. It is a truth which still lingers today; one journal I read regularly requires a Latin summary before the main text, which can be in French, German, English, or Italian.

In short, Latin was used because its use wasn't even considered. It was a natural incorporation of a common language. Or, as Wheelock's Latin puts it so succinctly, latina est gaudium et utilis