I worked as a consultant for FedEx. The volume of packages they lose or damage is truly astonishing- it's around 2%. best industry estimate as of a few months ago for USPS was around .5%.
Also fun note, they rely on the USPS because they're already stretched beyond their capacity. They literally don't even want any more market share because they don't have the resources to even handle it.
Privatization would be a fucking disaster for all US logistics. It's so unfathomably stupid. (edited)