I'm no expert...
I believe; the apron of concrete that the generator sits on is what your referencing, if they only used mesh of 1/8" 6 in/sq then you don't have to make a physical connection, if 1/2' rebar that's different. The mass of concrete is a better connection to ground then not but that's not the point.
But - I don't know where to consider it physically separated from the building.
If the generator is very close and under the building shadow and under the aerial of a lighting rod if then yes extend the grid but if it physically separated then no, don't. One still have to follow the requirements of grounding a generator.
Hopefully you used PVC and underground. The ground should be in with all circuits and a physical connection is bonded on the machine. You should have tied in all things together out there at the ATS any was.