Thank you to Jetpack support for quickly and manually changing the “new” internal install id created by the move from “old” install renamed old.domain.com (held stats) to the “new” hosting install to what it needed to be: the id held by old.domain.com
Hope people will affirm/confirm the disconnection from WordPress.com’s account from their “old” install before it is moved so that a “new” install id is not created that requires manual ID change/sync. If WordPress.com ever sees that the first was not disconnected completely – it will create a new blog/install id – and thus two sets of statistics. At least that is my restating logic of their notes to me.