A track bike is a bike that can be used on the track which could be a range of geometry. As long as the BB is high enough to be allowed on a track then fine. The Fuji doesn't come with brakes, has a track based fixed gearing and a higher BB than a road bike so to me would suggest it is for a track. Not sure why it needs to look a certain way?
Also when you buy one new there is a sticker on the frame that says "This bike is designed for use in a velodrome and is not intended for road use, if you are planning to use this bike on the road..." or words to that effect.
Also when you buy one new there is a sticker on the frame that says "This bike is designed for use in a velodrome and is not intended for road use, if you are planning to use this bike on the road..." or words to that effect.