You don't cut the ballsack off, silly.
That little wallet of fur is still there.
You just remove the testes is all.
Dog spends maybe 1 day walking slowly and sleeping.
Back to normal pretty much straight after.
To each their own, it just seems like a waste of time to do things the way you do.
My dog has been neutered and we never ever have to worry about him should he go on walks, or be let off his lead on the beach.
And the same is true with having both our cats (boy and girl, siblings) fixed. There's no worries of accidental kittens anywhere, like we had last time.