ISO 9001 and the use of mandatory terms

1. "competence" in place of "training"
2. "Leadership" in place of "management"

Answer:
No, ISO 9001:2015 does not mandate the use of specific terminology.

For example, this Advisera’s procedure use both terms training and competence: ISO 9001 document template: Procedure for Competence, Training and Awareness - https://advisera.com/9001academy/documentation/procedure-human-resources/

By the way, leadership and management are two different things.

The following material will provide you information about ISO 9001:
- Free course – ISO 9001:2015 Foundations Course - https://advisera.com/training/iso-9001-foundations-course/
- book - Discover ISO 9001:2015 Through Practical Examples - https://advisera.com/books/discover-iso-9001-2015-through-practical-examples/