Strength training isn't the same as chronic distress though. Activity that uses muscles above current baseline leads to inflammation, which leads to hypertrophy and growth, which results in
downregulation of inflammatory markers in the long term. The body upregulates anti-oxidant species in response to normal increases in oxidative stress. Yes, acute/extreme spikes in ROS generation is bad, but that's not what actually occurs in regular exercise.
Tomes of papers support the connection between physical activity, reduced inflammation markers, and decreased all-cause mortality.
Maybe you should actually take some courses in molecular biology, instead of googling some very basic high-level articles and over-generalizing to support your misguided point.