If AI actually made people faster and more productive, they could simply set faster timelines and people would use the tools.
I want to work with your team. I work with a sysadmin who, rather than using the up-arrow, will scroll up in his terminal to copy / paste the last command he ran. Even if that command was just "ls -l".
It's maddening to watch and horribly inefficient. But he's always done it that way.
Many people simply do not seek a faster way of doing things.