Insufficient or no makeup air can cause a lot more problems than that. The hood system will pull from wherever it can get it, including out of the sewer system right through the traps. We had one restaurant built several years back where decades ago there was an old landfill. The makeup air unit was 3 phase and didn't get wired right so the blower spun backwards not supplying any makeup air. When they first started the hoods, the exhaust pulled methane right out of the ground. Fortunately it was discovered very quickly .