Probably, for some bettors studying different sports can develop their betting mind just as you have exactly explained but personal, watching just my favorite sports like football, tennis, boxing, wrestling is even more than enough to give me the idea and knowledge I need to become a good bettors who make accurate analysis and have successful bet most times while sometimes too tables could turn. I really do not believe that in order for someone's betting mindset to improve they need to study different sports.
I like to watch different sports for entertainment but when it's about bet I prefer to bet on only football, it is a sport that I can analyze because I understand and follow it more than others. I love and watch entertainment wrestling a lot and I understand it but I cannot consider betting on it because I understand that most of their fights are fixed. Betting on different sports can be confusing for me because by that I need to analyze them which will be tiring for me so I just prefer to watch and enjoy them.