That's not trickle down. Trickle down is the concept that the absolute wealthiest in the country get tax breaks and benefits and that if they do they will create more business opportunity for everyone else and it will raise all ships. Trickle down would be if the stimulus was designed to relieve all debt from the top 10% and then give them all massive loans (which these kinda do already on the part of the bills we aren't discussing) under the impression that they will keep people staffed and also maybe add jobs. That has already been proven to be a failure as many companies that got PPP loans were also laying people off as soon as they were able to.
What the person you are replying to is talking about are the lower and middle class getting checks. The lower class is largely going to use this as a means pay off bills they already owe or might owe because they got laid off. It will basically be keeping the light on for them. For the middle class it will likely be giving them an incentive to go out and spend in the economy.... which is almost entirely the opposite theory of what supply side/trickle down economics is.
It's literally the opposite.