I cannot squat nearly as much nor bench nearly as much, but if that is you metric of health I will point you to several power lifters that died an early death.
The strength I am referring is the strength of the "climb a mountain" type or the "move from point A to point B in the most economical way" kind or the "take on an adversary much stronger than myself" kind.
On the speed side, for example, weightlifting, as it is popularly promoted, slows down the body. The biceps and the triceps work against each other and unless you can properly relax the countering muscle your intentions will be dampened. Weightlifting generally promotes tension in all muscles, thus a general slowing down.