Does white blood cell count fluctuate with sick cars just like humans?

I might be overreacting but my little guy Pumpkin kept sneezing so we took him to a vet. They did bloodwork and the doctor said he just has an upper respiratory infection and very casually mentioned his white blood cell count was low then gave us some medicine and said he should be good in a few days.

Well I went online and freaked myself out by reading what a low white blood cell count can mean. I know in extreme cases it can mean cancer/leukemia. So my question is basically the title, is it normal for the WBC count to drop when a cat has a more minor sickness? Is it something that should just rise as he fights this infection? Thank you

Edit: cats* in title, my bad