>Those low carb diets are also diets that reduce your ability to engage in strenuous activities
That's because low carb diets cause stored glycogen in muscles to be shed. That glycogen is used by the muscles for immediate energy during anaerobic exercise (e.g., weight lifting) when a sudden burst of energy is needed. It has less effect on aerobic exercise like running. You can still lift heavy things in a glycogen-depleted state; you will be come fatigued sooner, though.
>and cause muscle wasting
That's not really true. Extremely low carb diets were in use by body builders during the cutting phase of their routines for decades before they gained any sort of mainstream popularity, specifically because they they allow retention of muscle mass while shedding fat.