That lower is only 1.3 oz lighter than a standard milspec complete lower so your daughter is not going to notice the difference, in just the lower itself. Any perceived drop in weight is going to be the total package. Light barrel, poly upper and light weight BCG as well.
I would be more inclined to do a LW upper since a regular weight lower is rarely an issue because the weight is in the back end.
The TN Arms poly lower I used is 3 oz lighter than a standard forged lower. It has a brass insert for both the buffer tube, and the pistol grip screw. The NFA poly lower is even lighter than that.
Check out my LW build thread for ideas. @MCVetSteve if you want to bounce some ideas for reduced weight feel free to PM me, or post in my thread too. I'd be glad to help you configure that AR for your daughter.