Not a coach here, but I'll give you an opinion from experience. If your daughter's goal is to "get better", mindless reps will not improve her skills. There is a misconception that the more innings you play, the better you'll get. The problem is that if you're using poor technique without corrections, the poor technique is only reinforced and becomes hard-to-break habits. Skill improvement is a process: Learn the correct method, then test it on the field in game situations. Then go back and "fix" what you're still doing incorrectly - rinse and repeat.
With that process, friendlies with like competition would be a MUCH better venue than rec, because the game speed is more conducive to the testing process. For high school age kids, high school ball is a great litmus test for proof of your winter work. Having a daughter who pitched, I just wasn't a fan of fall ball because by then she needed the physical and mental break, and it was too soon after the summer tournaments to execute the above skill improvement process.
Some coaches will tell you that the broken finger is proof enough that she should not play rec. I disagree with that reasoning, because she could have broken her finger at any time in any number of other ways not even related to sports.
Now, with that being said, if she has no plans of playing at a higher level - college for instance - what's the harm? She's having fun with her friends, and those days go by incredibly fast. Life is about choices and decisions, and you just have to do the best with the cards you have on the table.
