As cabin altitude increases, a bellows expands and biases the servo spring balance to produce a lower airflow rate.
The recirculation help in this condition by increasing airflow,ventilation at higher cabin altitudes!
Do you even know what a bellows is? Trust me, the recirculation fans will not influence the packs in any way. The will continue their schedule no matter what you do with the recirculation fans... And it doesn't help to capitalize "wrong", it won't make you right.
Next time you fly, do the checks Lord Spandex Masher suggested. Maybe they are simulated in MSFS too.
