Here are some I thought of off the top of my head. These are based upon things I actually encountered.
What if I were to provide a solution that executes much faster, requires less documentation, passes test automation, and is a quarter of the code but ignores the framework or standard code style?
The standard DOM methods perform thousands of times faster than other options for interacting with markup. I can prove this with numbers. Code like that is not popular. Will I be allowed to write unpopular objectively superior code?
If I can reduce the application build from 5 minutes to 5 seconds will you let me rewrite the build from Java to Typescript?
A/B testing is a powerful way to determine preferential user behavior and a measured increase in conversion. Will I be allowed to write inward facing experiments to test developer behavior?
What if I provide a function as a solution the makes use of scope and nested functions but offers no support for inheritance?
Is it better to complete a task in 1 hour with original code plus tests or extend existing components with risk of regression and 4 days of effort?