Thus if you lower taxes, economics growth increases (overall tax receipts go up, not down).
The Laffer curve simply shows the relationship between taxation and government revenue. It has nothing to do with the policies and the economic theories. In fact, there are two points on both sides of the Laffer curve's maxima where tax revenues are the same in theory. That's just a simple didactical tool, nothing more.
Saying that the Laffer curve is the trickle down economics is as bad as saying that visualizations of a binary tree are what we call algorithms and data structures.
The Reagan administration argued the US was the right side of the curve, and that lowering taxes would result in economic growth ("a rising tide raises all boats"). Economic growth benefits every worker.
What you are describing is if we are on the right side of the curve. But is there any evidence that this is true?
When I read Sowell, someone who I imagine would be a champion for this cause, he cites the 1920s as his evidence that trickle-down works which doesn’t inspire confidence. If there is no modern evidence, why are we even entertaining this theory today?