Well, I doubt it. Maybe if you buried it in a mineral rich and moist substrate a thousand or more feet down it might work, but the field strength of a nuke based emp is going to overwhelm the ambient ground conditions enough to pretty much saturate the faraday sheilding.

We tested a pretty good faraday cage with what I called a symphony box (a capacitative multiplier that generated 114Kv). When the probe arced to the cage, the SA we were monitoring inside showed an obvious broadband hit on the scope. That was a miniscule spike compared to the saturation pulse that would be generated from an emp. The relatively high rise time will generate some serious eddy current in the screens, and before the energy can get conducted off to ground, you are going to have some serious coupling to equipment inside as the field seeks to balance itself. At most, the faraday cage is going to simply delay the spike by reactively phasing the pulse, maybe by a few microseconds at most.

I know the screen holes are supposed to suppress the eddy current inducement, but electricity does funny things at ionizing levels, and a compton wave is not something we see routinely enough to be able to predict the effectiveness of sheilding at the surface with a high enough certainty.

The bottom line is, if you want to have solid state circuits after an emp, all you need are two dissimilar metals, and you have a semiconductor junction. Got any spare change?