To me, the least accurate part is picking baseball to represent the right. I would’ve gone with wrestling, NASCAR, or maybe even football.

(I know the Japanese play baseball themselves… maybe it has a right-wing connotation there that’s influencing the choice?)

One of the first words Japanese language learning resources teach you is the word for baseball. It’s 野球 yakyuu (“field ball”) btw
棒球 (bàngqiú) in Chinese. Sort of means “stick/bat ball”, but also maybe “awesome ball”.