What are the measurement and data calculation processes for a differential pressure flow meter used to measure gases?

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For example, in the case of measurement using a standard orifice plate, what is the exact process involved: the on-site measurement results are sent to a differential pressure transmitter, and then temperature and pressure compensation is performed in the DCS? The instrument gas values provided by the design institute are all based on standard conditions flow rates, but differential pressure flow measurement uses flow rates under actual operating conditions; subsequently, temperature and pressure compensation is required in the DCS. So, what is sent from the differential pressure transmitter to the DCS: flow rate under operating conditions or flow rate under standard conditions? Because the DCS compensation formula generally seems to compensate for the deviation between the measured value and the design value under the actual operating conditions, without involving any conversion to standard operating conditions? Is that so? Could an expert please explain how the whole process works, from the throttling device to the differential pressure transmitter and then to the temperature and pressure compensation in the DCS?