I would only expect it to be an application if it was an application. Seeing somebody over-engineer their résumé wouldn't inspire me to hire them if I thought they were going to over-engineer the solutions they build for me.
Over-engineering sends the following signals to potential employers
If the thing you're trying to build and communicate is ~1 page of text, with basic styles, an application sends a very bad signal to anybody who is technical enough to understand how you've built it.
If you want to show off the fact that you can build an application, try to build an application to show off in your portfolio that:
Then I'd be impressed at your application-building abilities :D