It doesn't magically disappear in the same way that an incandescent lamp is 100% efficient if your goal is to heat your house as well as light it. The distinction isn't really meaningful unless you're trying to sell incandescent bulbs.
Most people would consider money directed at things that don't benefit the citizens (graft, boondoggles, arguably a bunch of things on the defense budget) more than the money would have had it stayed in the hands of whoever had it in the first place. Obviously graft and pork trickles down but does it really trickle down more than a chunk of money in a bank account but does it really trickle down more than if it had been spent on a yacht? Is hand-waving away efficiency (relative to whatever goal you're spending toward) losses as some sort of under-handed welfare really something we want to accept?
Most people would consider money directed at things that don't benefit the citizens (graft, boondoggles, arguably a bunch of things on the defense budget) more than the money would have had it stayed in the hands of whoever had it in the first place. Obviously graft and pork trickles down but does it really trickle down more than a chunk of money in a bank account but does it really trickle down more than if it had been spent on a yacht? Is hand-waving away efficiency (relative to whatever goal you're spending toward) losses as some sort of under-handed welfare really something we want to accept?