My research on ferritin says that low levels can absolutely impact performance. Ferritin helps supply oxygen to your muscles when the supply is low (like in a race!)
I was crashing in my races after a mile, and I didn't understand it. I just had no energy halfway through a race. My ferritin was tested at 12. After four weeks of supplements, it was up to 40, and my times improved by 30-40 seconds. No more mid-race crashes. PS I am a male, so it is not just a problem for women.
If I had known during the summer, I would have taken iron as a precaution. I will bet that many HS distance runners have low levels and don't know it. The typical blood test for iron does not include ferritin - you have to ask the doctor to include it. My iron test at the start of the summer looked normal, but that was without ferritin. Now I take a maintenance supplement and get tested every three months.