David, that is correct with the exception noted in the information which I quoted.
Quote:
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with the exception of arrival on a signatory carrier, in which case the inspecting officers have the discretion to grant the applicants entirely new periods of admission
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If you cross the border by land, then no extension is permissible. However if you re-enter by air on a "signatory carrier", then it is at the discretion of the inspecting officer.
In order to qualify for the Visa Waiver programme, you must enter the
US on a signatory carrier when you first arrive there.