Wow the token leaderboard idea is nuts. It's similar to trying to measure the productivity of software engineers based on number of lines of code.
The message isn't subtle, and isn't meant to be: "we don't care how, but we expect you to stick your nose into AI tools and find some way to fit them into your workflow". Which indicates: the management believes there are productivity gains from AI use, but adoption lags due to inertia and reluctance to change existing workflows.
Due diligence, judgement, and ability to know what the hell is going on are essential skills for management. The token metrics are a complete abdication of all of the above. It isn't a cream you just slather on to boost productivity.