That's not lag, exactly. That's being at an operating point where the turbine isn't being pushed enough. You have to break a minimum pressure / throughput in order for a given turbine to "activate" and be able to drive the compressor and begin building boost. Once that starts to happen, you set off a chain reaction until friction slows things down / destroys everything or you crack open the wastegate to keep speeds under control. The time it takes to go from that initial state to the steady "on-boost" state is the lag.
For example, cruising at part throttle well in the "power band" will only be producing a small amount of boost, but if you suddenly open the throttle, the boost won't be there instantaneously. That chain reaction of exhaust pressure driving turbine, driving compressor, increasing cylinder pressure and hence exhaust pressure etc. needs to occur first. That is lag, the time it takes for the engine to get where it should be for the given inputs.
Driving the car off the turbine map (etc.), so to say, is not lag, in the same way that driving a very highly tuned NA engine off-cam is not lag. The engine just isn't making as much torque at that point, and never will no matter how long you wait.
That said, the lack of true lag in the game is, in my opinion, a combination of the relatively reserved turbo tuning in the game (low hp) and modern low-lag turbo-compressors. The power-band modeling is there, it's just not as extreme as it used to be (again, "sensible" tuning).