I don't deny that reducing overweight is very likely to improve your health, certainly for the obese.

However, high blood pressure and weight are not as simple as one might think.

My friend has had problems with blood pressure since his 40s, but he is not overweight at all and has never been. He exercises at least weekly.

I am 60, at least 15 kgs overweight for the last 20 years (not obese), but my blood pressure is very good. I have always excercised daily, often for 1 - 2 hours, but at low intensity. Nowadays even lower because I have knee problems. Probably lower weight would have helped with those.