the app is called 'VLC Remote' because it is a remote control for VLC.
Before picking the name and icon - I checked with the VLC dev group on their chat.
(Incidentally - I'm also a minor contributor to VLC itself)
The reason I checked is not because I had to (the logo is GPL after all) - but because I thought it was polite.
The app appears in the store roughly like this:
Remote control for VLC
VLC Remote® lets you remotely control your VLC Media Player on your Mac or PC.
Clearly you were confused, and that's obviously a shame - but I'm not sure how I can make it clearer that VLC Remote is a remote control.
The app does of course have a free version which allows you to control almost all of VLC's functionality for free. Perhaps you should give it a go.
As to getting your refund - just click on the 'report a problem' link when Apple send you your email receipt. They'll sort that out in no time.