I just downloaded and installed your Improved Cron. I'm running on WP 3.8.1. I'm also on a VPS server so I can control everything.
Your plugin looks great, except for some reason, .. under STATUS I see the Current Time, but Started (says nothing after it) and Next 'Fake' Visit (says nothing after it) and State says Stopped.
I've stopped and started it and refeshed it according to your instructions but it doesn't change. I can't see anything.
I'm not running any caching application.
I've also disabled all my plugins (except for your plugin) and I still see the same thing.
I also tried changing to the WP Default 2014 theme, with all plugins disabled, and still see the same thing .. meaning, nothing is showing for the items mentioned above.
I'm not sure what the problem is and I was hoping you could help.