I guess whether the call for whether a vote was proper would be by the Parliamentarian, wouldn’t it? If she says that cloture was needed and not invoked, then the call for a vote would be ruled improper.
Of course, her decision is only advisory, and can be ignored by the presiding officer. Which would lead to an objection and a call for a vote on the objection. So when the dust settles, the situation may well end up as per your scenario, but there are a lot of bridges to cross between here and there.