Enevhar Aldarion
Hero
Read every word. It boiled down to you felt "root" was a more natural use of language than "rout" in this context, and so the intention of the writer was off in this case (potentially due to an American obscurity unknown to the writer).
I have not really followed this argument, but in the US, root and not rout, is the way the expression is used and spelled. In my 50+ years, I have never heard or read it said/spelled as rout, including in college. So maybe just chalk this up to yet another variation between British and American English.