(Assuming the problem A/C is on a Cummins... . )
With as much torque as the Cummins produces, the little bit the A/C uses is hardly noticed. If my engine ever dropped even 150 RPM or so when the compressor kicked on, I would be very concerned and would very quickly suspect the compressor's bearings.
And as near as I can tell, there is no A/C compensation on 12V engines.