The postal service might add a flyer to your actual mail delivery, but only if they're delivering to your address anyway.
The Data and Marketing Association says American businesses sent 149 billion pieces of direct mail and nearly 10 billion catalogues in 2016.
https://www.washingtonpost.com/lifestyle/home/how-to-stop-ju...
This is just a counter-anecdote, but for every flyer on the door I get (once or twice a week), I get scores of pieces of junk mail. I assume you don't own a home, because that alone is good for 10 a week.
USPS actually has a monopoly on mailboxes. It's illegal for FedEx or anyone else to put a letter/package in your mailbox, although I don't know how much that's enforced.
All of the junk mail I've received has come via the USPS, however since this all started happening I have received almost none.
The drop-off of junk mail delivery has been both welcome, and a sign of troubles for the USPS.