As usual, a simple MitM can accomplish more than you'd expect. Together with a simple Frida script, you can easily intercept traffic for apps with certificate pinning as well; there's no quick fix for a vulnerability like this.
You can't trust data from computers you don't own. Looking at the source code snippet posted, this library simply sends a "score" variable over a POST request and the server just seems to accept it as the real score; that's fine for keeping user-specific high scores, but as soon as you use that data together with any other account, you're going to have a bad time.
This reminds me of the Hive Social security vulnerability (forgetting to implement ACLs on any of their endpoints and doing all the security checks client side).