From all the amperage use testing I do on the systems I install, an HEI will run, not wellm, but, will run with a stock GM ballast resistor, or resistor wire. For a true HEI, feed it a full 12 volts.
Not every electronic ignition, especially the ones that replace points, should be run at a full 12 volts. With non-HEI systems, the ballast resistor should be left in place, and functional. in fact, a Mallory UniLite needs not just one resistor, but two, because the module want LESS voltage into them than other point replacement systems..
From the testing of use amperage for an HEI, the lower the rpms, the more amperage they use. The higher, the less. At idle, I routinely see 5.0 to 5.5 amps, after about 3,500 rpms, I see as low as 1.5 amps usage.
I asked this of my ignition tech, the best on this planet, why? The simple fact is, the more rpm's, the less time the coil has to absorb current, and the storage of current in the coil drops. At idle, there is, relatively, a lot more time for the coil to catch and hold volts, current, amperage, whatever you want to call it, and the more amperes are captured.
Want to test this, alligator clip an ammeter between the coil positive post and engine ground, run engine, change rpm's, read ammeter. If you say "no, that won't work, the charging system is still adding current", pull the fan belt off, and test again, it doesn't take a long time to read what goes on, certainly not enough time to overheat the engine.
Willard Thompson