I've used the Apple Magic Mouse with my aforementioned fleshy finger and while it has no physically distinct left or right buttons, it did indeed seem to share the prevailing sentiment that every mouse since the hockey puck rightly possesses both a right and a left button. I won't insult you by posting the requested link to this Apple Mouse unless you insist I do so.
We seem to be talking past each other as I am talking about an event which combines a "left mouse button click" and the "control key". While you continue to discuss a "secondary click." I believe I understand what you mean when you say "there isn't but one button." And I think I've done a good job of bridging between your POV and that of every configuration menu in every application, all of which subscribe to the concept of "Left Click." So... um. I'll noodle on what further language can better convey my meaning and get back to you.
Lastly, while there is absolutely nothing wrong about games and I could very well have been pursuing this solution for a game, no, I'm not. See, most games I play that were written to run natively on Mac indeed recognize what the Left and Right mouse buttons and let me configure one action for a left click, one action for a right click, and amazingly yet another different action for a Control Left click.
No, I'm trying to get a desktop application which currently maps "opt-left-click" to an particular action. For legitimate reasons that do not merit debate, I wish to change it to "control-left-click"
So, [sad trumpet noise], no, "You can send Apple feedback suggesting they change over 30 years of UI consistency in order to make your game work." I don't know what UI consistency you're describing.