This statement is near to being tautological. The central test is rather whether people who do "highly innovative things" become more productive in doing so not just by the mere fact that the AI removes some yak shaving from their work.
Otherwise, you could simply argue that people who do "highly innovative things" also find
- a housecleaner
- a personal secretary
- using a word processing program instead of a typewriter
- a washing machine
- an automatic dishwasher
- ...
to be useful.