Locke as paleo-Gricean: 'insinuation' as implicature

Cited by Chapman, p. 24

Locke on

he is not being his-self
he is beside his-self

"when we say i or ii in which phrases it is insinuated, s if those who now, or at least first used them, thought that self was changed; the selfsame person was no longer in that man"

--- I loved Holdcroft discussing "Forms of Indirect Communication" in Philosophy and Rhetoric and all the terms listed by Grice WoW:ii to do duty for 'implicate': 'mean', suggest, hint, imply.

What about 'insinuate'? Etymythologically, that is.