Hashtag I’m not a lawyer.
It’s very likely that this doesn’t break any laws. FedEx is a private company and isn’t subject to these laws. There are likely some strange edge cases such as the USPS contracting out work to FedEX, then FedEx hires this guy to do the work. However, at least from what I’ve seen USPS tends to contract individuals directly for excess letter delivery.
Mail laws exist because the Postal Service itself is a direct extension of the federal government. The actions and duties of the Post office are carried out by the post master general which is a cabinet level position. Part of the reason why it’s illegal to destroy mail is there have been several attempts on making the Postal Service unconstitutional on first amendment grounds. The argument being because the postal service has a monopoly on letter delivery the executive branch can restrict free assembly if they direct the destruction of certain letters or newspapers (which it totes has done in times of war but let’s not get into that).