I think your definition of "lag" is a little mistaken mate - turbo-lag is the time in which it takes a turbo to "spool up" to a speed in which it can function effectively. A larger turbo will take more time to spool up for example. Basically, the exhaust pressure has to overcome the rotational inertia of the turbine itself, therefore, the factors that effect "turbo-lag" can be the diameter of the turbo inlet, or the aspect ratio, the mass of the turbine fan itself, the friction created in the bearings, the response of the wastegate and finally the volume and velocity of the exhaust gases that are flowing into the turbo.
By having a larger intercooler is not going to effect the flow of gases into the turbo, and certainly won't effect the turbo's make-up itself.
Basically, the turbo will spool-up as quickly and effectively as before.
What I think you're suggesting is there is a higher volume of air between the turbo and the intake manifold - and I would totally agree with this, but a "vacuum" is not created in this section of piping when you back off the throttle or when you're at idle, there is still a volume or mass of air that remains at all times, and it will flow at all times. As long as the engine is running, it will need air flowing through it.
It may start off slightly leaner RIGHT down low in the rev range, but the lag you're talking about is all turbo and pre-turbo related!
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