If "electricity" is really just a category ...then we've just added another definition to the list! That just makes things worse! (Well, unless you can somehow erase all the competing ones. Better choose one definition and then fight to the death with everyone who prefers another.)

So, which one is the One True Definition? Is Electricity the energy? Is it the charge-flow? Is it the electrons? Watts of electricity? Volts? Is Electricity really just a category (such as bioelectricity, piezoelectricity, etc.?)

Besides the strict narrow definition offered by Maxwell in his multi-volume EM treatise, I prefer the wise-ass definition crafted by Ambrose Bierce:

ELECTRICITY, n. The power that causes all natural phenomena not known to be caused by something else.