Yes I can see where historicaly the name would not fit the style of bike, if it is styled as a "cafe racer".
Royal Enfield or Moto Guzzi probably have that name.
What you would call Street tracker style racing would be known as scrambling ( already got one of them in the line).
We also have Grass Tracking here, racing in a field of grass would you believe.

That would be an intresting name!
When racing on hard top roads, quite popular here, it can be Street racing, Road racing or even a Track day.
I dont know what happend to "Export or Die" apart from them sending all the good stuff overseas.