When a measure becomes a target, it ceases to be a good measure
Especially for a CEO, who has quite a bit of power to optimize for any measure, it's going to be very hard to craft a measure that gives the results you want and can't be gamed. The most likely outcome is something that's just a worse version of the stock price, because the stock price is just a forward-looking approximation of net income, which is what you'd mostly want to optimize for anyway (ignoring things like B corps).
Especially for a CEO, who has quite a bit of power to optimize for any measure, it's going to be very hard to craft a measure that gives the results you want and can't be gamed. The most likely outcome is something that's just a worse version of the stock price, because the stock price is just a forward-looking approximation of net income, which is what you'd mostly want to optimize for anyway (ignoring things like B corps).