"Monk Style" is a 'style' that uses swords at it's limits, meaning it uses even more glitches and bugs to perfect the sword skills. Not a weak knockoff version of what you call 'stalk'.
1. It is not K-style. If it was, K-style could also be called E-style, and J-style can be called K or M-style. Every style has it's 'main focus', and also includes moves that is based off something. I didn't see people complaining when they took the move 'dash' in Gunz style and input that in K/J/D/M styles.
2. Monk Style reaches limits beyond what your gladiator guide explains if I remember accurat