Lambda the Ultimate

While reading Stanford Encyclopedia of Philosophy's article on Modal Logic, I stumbled upon a phrase:

The answer is that there is a dangerous ambiguity in the English interpretation of [...a formula follows...]


In English, ‘necessarily’ is an adverb, and since adverbs are usually placed near verbs, we have no natural way to indicate whether the modal operator applies to the whole conditional, or to its consequent.

Native English speakers, do you agree?