I am exactly the same. Only twice I have had the flu and only after traveling to bowling comps with others who are coughing and sneezing in the car.Every time I got the flu shot I would end up really sick from the reactions afterwards. It was like I had the flu really bad. So for the last 10 years I've stopped taking the flu shot, and I've had the flu just once or twice in that last ten years. I am still yet to get covid but I have had my 3 shots just so to be prepared.
My late old man was the same. Last time he had the flu injection he ended up in hospital.
I have been testing my wife and I for Covid over the past week. She is positive and I am showing negative. We both feel fine however.