I have dealt with foot drop since I was 12 years old. I am now 57. I had operations on both my Achilles as well as other ligaments, and tendons. I had prosthetic that would fit under my socks and no one could tell if anything was wrong. I have not worn any such devices since I was 21.
I have stumbled and tripped at times, but that was more due to new shoes and usually on some type of carpet. Or just stepped on an uneven walk, as we all have done at times.
Oh yes, it did not stop me from playing sports either. Just not at a competitive level. But I never tripped or fell as where I hurt myself. And I can flex my feet though not very much. I do not blame Jaylon if he walks around without the device. I would encourage it. As it makes one feel better about healing. Now my causes are far more complex and different from a sports injury as Jaylon's. But none the less, I can sympathy with him.
Now if he can't flex the foot at all, and it just hangs there, yes use the brace, but it sounds as if that is not the case. But I have not read through all the posts either, just skimmed through them. If he has any kind of movement, then I say don't use it.
This is just from my own 45 years of experience with this. It's not something I read and make opinions. I am not accusing anyone of that, just making a statement of what I believe is fact.
Just my little bit of input here. Not sure if it helps or not, but there it is.