Trickle-down economics is the very specific political idea that cutting taxes on the wealthy would increase the compensation of workers as the money trickled down. Or, more commonly, it's simply used as a pejorative by opponents who see something even vaguely free-market.
Trickle-down economics is not an economic theory, does not mean any kind of tax cut, such as capital gains tax cuts and it is not at all use as a justification for such tax cuts by academics.
Stop using this term; it's a political sp00k.