You don't realize you're continuing to hurt your argument here. If Chung was hurt and Richards and Bademosi sucked throughout the season and continued to suck that night and they were thin in the secondary, you have to get out of the big nickel and insert Butler.
Richards was in for Chung and Ebner, he was playing Strong Safety so you weren't pulling out your strong safety nor getting "lighter" against Philly's offensive front which already had a large size advantage.
Bademosi only played minimal (dead last) snaps at corner all season and in only 5 games, garbage time... when did he have time to "suck?"
We didn't lose because the corners were giving up poor coverage especially after Gilmore switched over to Alshon Jeffrey, Philly was throwing over us and making tough catches the same way they did all playoffs.
I would argue a large reason why Butler didn't play (beyond being a malcontent of some kind over $) was his lack of height, mass and speed against the 1-2-3 receiver combination in Philly who are all taller, stronger, faster and heavier...
We lost at the line of scrimmage, they ran the ball nearly 30 times, Foles ran it zero times, he was sacked zero times, they blocked the hell out of us and manhandled us because Malcolm Brown was our only defensive tackle worth a damn.
Danny Shelton was the 1st off season move by Belichick for a reason, Mike Lombardi says the very same thing I'm saying here on The Ringer podcast over a week ago when discussing the Shelton move.
Football is won in the trenches.