Solution
You must use a Fluke 55xx (5520, 5522) calibrator with the PXIe-4353 procedure, per the procedure documentation. The Fluke 57xx calibrators use fixed internal resistors for resistance output mode, so are less flexible in the specific resistance values, and the methods used to compensate for the lead wires is different compared to the 55xx calibrators, so for this type of measurement the software and methodologies aren't interchangeable.
The CAL-4353 selection is there because the terminal block is an important traceable component of the calibration, but there is no device ID to select, so you are just expected to enter the device's tracking information for reporting purposes. The UI for this use case is admittedly awkward.