Well, based on what we have seen: the Dyna S is designed for a 4 amp maximum load. The 3 ohm coils pose just that, a maximum load. It's then a bit like running the engine at redline all the time: it will do it, for a while.
In the last 5 or 6 years, I've helped a bunch of riders 'solve' their Dyna S troubles that were: it runs for a while, then quits or runs poorly, but after cooling off, works OK again. In most of these cases, it was a Dyna S with 3 ohm coils. That's how I first started making the Resistor Pack: it was to cool off the Dyna S so those guys could ride. It adds 1 ohm to the coil circuit(s) so the "S" sees only about 3 amps, which is 75% of its capacity, helps it run cooler.
This doesn't count the outright Dyna S failures: those weren't solve-able with a Resistor Pack.