This seems to never have gotten resolved.
Moving to a new topic is much less clearly marked than reply-as-new-topic!
They are the same thing in effect! A moderator moving something to a new topic should be identical in that it is basically a moderator saying “this should have been reply-as-new-topic”. It should have the same “continuing the discussion from [old topic]” beginning to the post!
Without that, it’s quite awkward!
ADDENDUM: I see how this happens because reply-as-new-topic involves posting new text, and it’s trivial to insert the canned line about continuing from the other topic (which someone could delete or edit before posting). Whereas with moving, there’s no edit/post dialog inherently. But I still think a “moved from” canned line should be added to the top when moving. That’s the better default.
Perhaps the move interface could have a check-box for whether to include the move notice or not?