Great article Chase. These 3 points are fundamentally important to losing weight.
Unfortunately there is a vast amount of information from different companies, 'fitness guru's' etc which complicate things more than they should be. Unless someone has specific diseases for example diabetes, obesity, heart disease, digestive disoders, allergies etc regardless of what diet you take on these three principles will always hold true.
Different diets work for different people but they will hold to those 3 principles depending on the goal (weight gain/weight loss). I'd say the reason the diets work is more for psychological reasons such as they think this 'specific diet' is the best one, or it motivates them to take action etc.
For healthy people it's more of sticking to the 3 key principles above and lifting weights 3x/week, to failure, for 30-40 minutes per session, working out different muscles groups on different days and ideally using compound exercises (working multiple muscle groups) as much as possible to look good.
Don't need to overcomplicate it beyond that unless you are an elite athlete or want to reduce your body fat below 8% or the like.