Most of that is important, but the real choke points are pouring the HE and getting the (military grade) detonator exactly centered. If either of those is wrong, the EFP won't form correctly - still dangerous, but not even the same ball park for effectiveness. The device container doesn't need that fine a tolerence, but the tolerance on the metal disc does. (That's all I'll say about that.)
(See Stan's comments above. He's talking about home made, imprecise systems that have to be pretty close to be very lethal. My comments are directed to high quality EFPs - 4 to 6 km/s launch velocity, good stand off and high level of penetration.)
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