No

Fans are only there to add extra airflow across the condenser when a High Termal Load condition exist , thereby keeping the high side pressures in check.
That is why they are called " Aux Fans"...the are not called for until extremely high ambients present inadequate airflow for condenser/ pressure or higher than normal engine load brings coolant temps to 105C...
The a/c circuit is always low fan and coolant temps trigger high fan..

...and they have nothing to do with one another except the two circuits share the same fan motors......

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A Dalton