Actually Paul, that's not a bad explanation at all.
The key to the whole thing is heat. Black powder is sensitive to heat; that is, it takes heat, a lot of it, to set it off.
Heat is a form of energy; light is another form, and electricity is a third form. In order to start the chain reaction we call ignition in black powder using electricity, you need to change the form of energy from electricity to heat. The way to do that is to pass the electricity through some form of resistance. That's how a light bulb works: pass the electricity through a thin wire that resists the movement of the electrons and the form of energy changes to light and heat.
The term "ohms" refers to the ability of various materials to resist the passage of electricity. It's simply a a physical property like density or weight or color; some materials have more than others.
Black powder, synthetic or otherwise, is essentially a conductor of electricity. It has very low resistance to the passage of electricity, and so it does not heat up significantly when electricity passes through it. This is true regardless of the source of the electricity, whether from a static charge or a battery. I should also mention that the amount of electricity does matter somewhat. Extremely high amounts of electricity can cause even low resistance materials to get warm - that's the reason I put the word 'significantly' in quotes above. Size matters.
So, in the normal world, black powder actually allows electricity to pass through without heating up and thus is not ignited. What changes that? The presence of some highly resistive material in or near the black powder. Black powder contaminated with material that resists the passage of electricity is obviously very dangerous in the presence of static electricity.
In the case of the electronic ignition bp rifles, a battery is used to charge a device called a capacitor. This creates a condition where a very large amount of electricity is stored up. The electrical charge is released across a small gap in a device like the spark plug in a car; the quick release of a large amount of electricity heats up the material forming the gap, causing ignition of the black powder.
For the purists: These reactions can be quite complex. For example, I resisted the temptation to discuss spontaneous combustion of dust particles, which can occur in the very fine dust sometimes associated with black powder. So, I admit to some poetic license for simplification in the above discussion, but the basic principles are intact.