grounding IS important unless your Faraday cage is a perfect sphere with out ANY creases or imperfections in the material. The EMP is such a massive frequency spectrum along with ample power it will RETRANSMIT inside an imperfect Faraday cage (any imperfection is a potential antenna that will transmit/receive). An EMP is allot like lighting except the frequency range MUCH greater (several orders of magnitude). The pulse shape is identical (except the amplitude/frequency space), in other words the current developed from the coupling of the EMP pulse is going to be massive and NEEDS to be sent to ground to dissipate.
The simplest method to protect electronics is to be under ground (bury your Faraday cage cache 10-18 feet under). The EMP does penetrate the earth but just the low frequency portion will travel far. The use of a Faraday cage in this aspect (even an imperfect one) will do the job.
This subject has been under-estimated by the military for some time since 1960's, just recently (1990's-present) d they re-evaluate the potential damage one could do.
This is my thesis research topic for my grad degree in nuclear engineering (20% reactor stuff, 80% weapon stuff), Army is actually paying to go to school for this stuff

Its an excellent topic, I posted a grad level EMP Class Notes in the download section, its a little heavy on the math but the concepts are broken down to basic physics so the principles make sense.