A full year of pre-team at 5 is super normal. Not to mention there could be the possibility of going directly to level 3 after if she is ready. Even the most advanced kids at that age can really benefit from focusing on form.
My daughter also wanted to be in the gym 24/7 at that age ... we didn't do privates at 4/5, but she did do an additional tumbling class once in a while. Preteam (at 4yrs old) was only 2 hrs/week and Level 2 was 6 hrs I believe.
That being said, if I look back at my 12 years being a gym mom, the kids that I have watched grow up over the years that have excelled into optionals are usually NOT the same kids who did the multiple privates and classes at young ages. In fact, most of those kids were burned out in the early levels. Or worse, had chronic injuries that made them quit.
The biggest factor I have seen anecdotally over the years is the kids that build the strong team friendships, and the kids whos parents tend to step back some, tend to stay in when the skills get tougher.