Exercise science is clear that the recovery phase from intense exercise is when the benefit is obtained.
Intense exercise (meaning resistance) is designed to damage and deplete nerve and muscle and to stress bones. This is why I only do each of the big exercises (deadlifts, barbell squats, pull-ups, bench press, rows, military press) once per week. (nb: Those exercises are for women too.) 5 sets of each after a light-weight warm-up, increasing weight, once a week. I do 3 of those exercises one day, 3 of them 3 days later. That is enough frequency for a strength-building or maintenance program. More is not always better.
Like most fitness-oriented people, I do auxiliary strength exercises too but those are not so essential, like arm exercises and core exercises for my tennis and my skiing. Those more focal exertions do not need much recovery.
It is generally accepted that most cardio and calisthenics do not need more than a 24-hr recovery. Hybrid programs like Crossfit deserve a couple of days of recovery unless you are age 18-25. My middle-age fitness regime is 2 days/wk of heavy weights plus a little calisthenics, 2 days of cardio intervals (25 mins only), and one or two days of calisthenics (maybe 45+ mins), depending on my sports schedule. I play lots of sports but recreational sports, and even things like mountain hiking, are not really exercise. They are for fun even if you play hard.
Recovery days for a strength-building program can and should include cardio and calisthenics, but no heavy weight on the movements which need repair.
Good recovery entails a decent amount of sleep and hydration, and an above-normal protein intake in a normal diet. Your muscles, nerves, ligaments, and bones will be grateful for that reward.
