Can Competitive and Casual Co-exist?

Fortnite rolled out changes to make the game more competitive, and then promptly had to roll them back. Overwatch struggles to balance how characters are used competitively versus casually. With Root we even see balance patches in TABLETOP games. Game balance in a vacuum is one thing, but how do you balance a game across all possible levels of player skill? Across normal and professional/esport play? And most to the point, across a varied player base where people often have diametrically-opposed reasons for playing?