You probably should not be asking other high school coaches out there about this because they are going to be very biased. Don't get me wrong, because I believe there are a lot of very good high school coaches out there, but from what I have seen, the far too many of them care about one thing, and that is team points. To double a freshmen in the 1600 and 3200 meters every single meet is a sure way to get them burned out well before they get to college, especially because so many high schools run more than one meet a week. I was very fortunate to have a coach who would mix my races up throughout the season such as: 1st meet) 1600 and 800, 2nd) 800 and 4 x 400 3rd) 3200 4th) 1600 and 4 x 400. Every once in awhile at a bigger meet in my junior and senior year he would let me double the 1600 and 3200. By the time I got to college I was physically and emotionally ready to compete. I had friends from other schools that ran the 1600 and 3200 at every meet and sure enough, most of them did not even run in college or if they did, they didn't end up improving much. To tell a girl or boy to just run easier in the second race is absurd, especially if they aren't going to be able to easily win that race. Kids are competitive and what kind of message are you telling them, when you say we think it is important to run this race, but oh yeah, you don't have to run that hard and you can let other people beat you that we know you are better than. As the poster said, his daughter is too competitive to take it easy and that is how most high school kids are, and should be.
Anyway, if this continues throughout her career, please don't expect much from her in the latter part of her high school career and certainly don't expect her to run in college. Yes, people will get on here and be able to come up with exceptions of athletes that were bascially abused by their high school coaches, that still went on to do great things, but that is the exception not the rule. Anyone who follows high school running closely has seen far too many good young runners that were over raced and possibly overtrained too early and they never really developed.
I wish you the best of luck because telling a high school coach what you think they should be doing with your son or daughter will usually result in an uncomfortable situation. Most coaches don't like being told how to coach and it usually is the ones that aren't very good that have the most problems with input from their athletes or parents.