If I do 3 sets of pullups, pushups/dips, rows, crunches/planks, and squats, one after another is that enough, along with good diet, to keep me in generally good health including cardio? Will I quickly reach a plateau and need to change into a more traditional bodyweight program?
You’re not really working your hips without a hip hinge movement and you’re barely working your legs if you mean air squats.
Also, a key to growth is progressive overload. If you do that your lats, mid back, chest, and triceps could get pretty strong.
If it keeps you in “generally good health” is impossible to answer. A large part of health is your diet.