If it matters that one must be careful to avoid a cowled engine where the pressure goes high, then atmospheric pressure changes matter on the tuning. IIRC, a high pressure in the cowl requires leaning the engine at full throttle when the pressure goes up in the cowl but then when coming off the throttle and the pressure drops, the engine is too lean. That would mean that lowering the pressure such as at greater altitude would require richening.

Factoring in the needled changes needed for air density/fuel ratio... it might then become a plus and minus thing with what issue is more dominant and thus what is the net effect. One cannot ignore that walbro carbs use atmospheric pressure to provide a reference to which the needles are set.