Sorry for my delayed response. I actually didn't know of these blood test results while in hospital. It was only after I returned home and requested my medical records that I spotted this information.
After the first hospitalization, I assumed the high neutrophils and low lymphocytes was due to presumed aspiration pneumonia, which was one of the working diagnosis upon discharge (along with esophageal spasm, gastritis, and enlarged heart).
After my second hospitalization, last year, I noticed the same pattern in my blood work: elevated neutrophils and decreased lymphocytes.
As
@DrUniverse mentioned, a neutrophil to lymphocyte ratio is often calculated and considered in MANY diseases and medical conditions, and it felt like trying to find a needle in a haystack.
However, your post has inspired me to ask my primary care physician to take a look and see if he has any ideas. I'm not too hopeful though. His usual response is: "I treat symptoms, not test results."
If he does say anything useful, I will come back here to share with you.