No instead you are wrong.
The styles I mentioned bring more benefits than just throwing punches and kicks. There is a whole study of setting in these disciplines. I practiced Karate for many years and also practiced Kickboxing. I can assure you that, contrary to what you say, I gained more stability and control as well as flexibility with Karate. In contrast, when I did the Kickboxing period, my "teacher" tried to squeeze out as much money as possible, forcing us to buy uniforms that he ordered. He would do the ordering and buying and we had to hand over the money to him. He never showed us the receipt, not even once. Above all, he didn't leave me any valuable teaching.
Instead when I had to leave Karate, my masters allowed me to keep everything, the uniforms, all my belts, gloves and duffel bag. Everything they left me.
But most importantly, they imparted teachings to me that I will carry with me for life. They taught me how to calm my mind and achieve a serenity of mind. Also several techniques that are not found on youtube.
So if you want to dispute what I say that's fine, but everything I have written is from direct experience.