OP, does your house have super tight energy efficient construction? IE- SIPS panels or field applied spray foam?
Are there any open fireplaces in the house? Do they have a sufficient air supply?
I'm just wondering if the HVAC installer tried to cover his or her butt to provided make up air for the whole house. Your second hand sketch looks like an appropriate solution but that's assuming there are no fireplace/s or high CFM range hoods etc.. And, that doors are undercut to help the "whole" house maintain a pressure balance. Getting combustion air for the furnace from the exterior is always recommended as mentioned above.
You're right, you shouldn't be pulling outdoor air inside the building envelope during the cooling season unless your house is so tight that a mechanical engineer etc thought differently for some reason, IE- air quality, that's not evident so far.