My doctor says for me to have all of my shots

The Influenza virus (FLU) is a serious respiratory threat and very widespread. It matters little where you live. What matters is that You SHOULD be protected in spite of what other people in your space think. Besides the article from this site in your Post above, Here's more PROOF: https://health.wusf.usf.edu/health-news-florida...
The Good part - your insurance company thinks it is important enough that you can get it even if your Doctor disagree. They leave it up to the Patient to decide any way. BE Well.

Florida kids aren't getting their flu vaccines, CDC data shows

https://health.wusf.usf.edu/health-news-florida/2023-11-24/florida-kids-arent-getting-their-flu-vaccines-cdc-data-shows

Well if you are fighting pneumonia There is no reason to get the flu shot. Especially since your body is getting antibiotics. Maybe in a few months or next year.

It sounds like you're getting conflicting answers from several docs. Sounds like you need to either get additional opinions or simply make a choice based on who you trust.

My doctor told me to get them all but the last covid booster. I’ll ask again in fall when I get flu .. not ready for new pneumonia yet