By Matt Hladik The Philadelphia Eagles and New Orleans Saints shook up the 2022 NFL Draft order on Monday with a trade involving several picks. Philly is sending the No. 16 and 19 picks in this year’s first round, along with a 2022 sixth-rounder, to New Orleans in exchange for this year’s 18th-overall pick, 2022 third and seventh-round selections, a 2023 first-round choice and a 2024 second-rounder. That’s a lot of moving parts, and the immediate analysis of the trade from NFL media members seemed to conclude that the Eagles “won” the deal. They surrendered a first-round pick this year, but ha…