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.
Which indicates: the management believes there are productivity gains from AI use, but adoption lags due to inertia and reluctance to change existing workflows.
Methinks adoption lags due to management's inability to align incentives such that productivity gains are rewarded.
"If you do something that causes a productivity gain worth X, I will give you some reward with a value Y where Y is less than X but greater than the cost Z of the effort you needed to put in to generate the productivity gain. If the cost Z would be equal to or greater than X then don't do it."
Managers make their work immensely harder on themselves by unnecessarily adding the constraint that they can't get people to do things by paying them fair amounts to do them. Now certainly there are some highly skilled managers out there who can still succeed despite this handicap, and if that earns them a fat paycheck then good for them. But if you don't have those skills you don't get to excuse your failures with an inefficiency you created for yourself.
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.