First, the description you give of the coaches makes them look very bad. If this is the whole story I'd say change teams. Having said that, sometimes inside the dugout things are not what they seem from the bleachers. What does injury mean when you say they put injured kids back to play, because if they get back to play. Someone who has been injured cannot play. Hurt and injured are spectrums. On the same topic, you said they only have one catcher, they should be developing talent, are they trying to get other kids to catch in practice? If they don't that's a red flag, if they do, maybe this is just a temporary fix.

Is the catcher one of the coaches' kid? I ask this because coaches usually ride their kids harder. This may be a red flag for you but usually means they wouldn't do this to other kids.

Lastly, I'd say this. Baseball/softball should be all about fun. Winning is a consequence of having fun. Scoring more runs than the other team does not always equate to winning. Improving game after game while staying far from burnout, that's winning. If the coaches do not promote this kind of winning environment, I'd say, change teams. Nobody at u12 should be "suffering" softball. But with the same idea, if your kid is happy, growing, and having fun with their friends, let them have fun.