First being that the Saints don’t really have a true need for a defensive end right now. Junior Galette is nursing an ankle injury that kept him out of the last game but other than that, everyone is healthy. If the Saints were to sign Edwards, then someone would have to be released from the roster.
Another issue is that the Saints will be heading into their 10th game of the season against the Oakland Raiders this Sunday. It would be a different story if this was the beginning of training camp or maybe the second game of the season.
Defensive coordinator Steve Spagnuolo has had to work hard to get the current unit up to speed and they are still learning his scheme. While the defense is still ranked last with yards given up, they have improved bit by bit and made impressive red zone stands against the Falcons on Sunday.
To try to integrate Edwards into the defense at this late in the season would most likely accomplish nothing except eat up some of the Saints salary cap although he would likely come cheap.
While he does fit the physical mold that you think Spagnuolo would love to have, the risk versus reward here would be too much in the risk column for a defense that is still on the cusp of finding not only their stride, but their identity as well.