All good points given here. I am also a little dated with my KT training. I look at it like this.

Use
FMEA for part/process/project related risk analysis on automotive programs.

Use KT for the Big Picture organizational culture continual improvement/problem solving/risk analysis.
Used like this, maybe we can all co-exist.
By the way, when I teach core tools and TS 16949 classes, I have often referred to my KT training as enhancing my knowledge and approach to situations.