Theme Parks are like any business that run projects. Each proposal will have a project manager (PM), and it is the job of that PM to sell projects to the folks with the money: Be it a board or just one person. In any case these PMs work, sometimes with numbers in the multi-millions. In the case of a very large coaster upwards of $15-25 million. It takes political positioning and favors to get that through. Just like everything in business it will come down to the numbers. So yes, often strange bedfellows make back office agreements. This is particularly true when one or more persons holds more or less sway with a governing body.
KKR did not leverage buy RJR Nabisco in the dark. They had to build a plan, find investors, and sell it to the RJR board. In their case they had to sell against what was arguably a better deal for the investors. Which brings me to my final point. The #1 rule in finance: "The purpose of corporate finance is to increase shareholder wealth"
Do not mistake, that is the goal well executed or not, that is the driving force.