I used to lose my big & sencond toenails on a regular basis when I was running trails. (they hardly ever finished growing in).

Using the double tie method (knotting the shoestring about 3 holes below the top) AND cutting the toenails thisclose was huge help. Also, there should be enough toe space in your boot/shoe that there is no contact on a steep downhill (my problem was in order to get boots to fit, I wore a very small size...which was fine until the downhill)

Since tying the shoes properly & wearing the correct size, I have never needed to tape my toes OR wear two pair of socks (I DO prefer the SmartWool Trekker)

The body betrays and the weather conspires, hopefully, not on the same day.