Good to know. Big difference!
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First thing I would do would be to grab an extra high-quality ignition module. Not the cheapest thing you can find just because it has a lifetime warranty, but probably the most expensive one you can find.
Maybe even one from Pertronix or DUI.
Second, or maybe even first instead, verify where power is coming from for the distributor.
If your left side (ignition, or “I” maybe?) wire on the distributor, cap is going to the stock red with green stripe wire, that could be the source of your problem.
The HEI setup is meant to run on a full 12V and not the lower voltage coming through that wire.
Different ways of achieving this, but probably best and easiest is to use a relay.
Without a relay, the HEI could put more strain on that particular wire from the ignition switch. This could be the cause of your intermittent working as the wire heats up naturally, but heats up even more due to the higher demand of the HEI.
I don’t know what the current ratings are for HEI versus standard ignition, but I have heard that it’s more.
So, a few more details, please.
But to answer your previous question, yes, as long as you don’t go crazy, pour water over the top of the distributor.
Obviously, you don’t want water getting inside, but anything that can more quickly cool the coil area would help narrow down a solution.