Ware plays very little on the perimeter and doesn't put the ball on the floor and drive like TJD did. However, unlike TJD when Ware catches on the perimeter he will shoot it. Edey can absolutely deal with Ware on the perimeter as long as he keeps focus. Edey's bigger defensive problem with IU last year was trouble in drop coverage on high post handoffs to Hood-Schifino. It was a major factor in JHS getting going. This year Mgbako, Gunn, and Galloway will fill that role with Ware, with Ware rim running after the handoff. And if Edey switches to Reneau that's who will set high screens while Ware posts up Kaufman, which is a bad matchup for Purdue.
EDIT: I can show you! Edey gets in no man's land in the drop while Trayce runs the opposite lane. Two quick video examples. You'll see that Woody draws stuff up specifically to get Edey in motion and not rim protecting:
IU has a defensive scheme that is uses for every team that is helpful with Edey;
IU does not ever have their bigs hedge perimeter ball screens. Instead the closest perimeter guy shows at the ball handler and the big guarding the screener stays back. At times something has to give and that style can put the perimeter in rotation, but the upside is that it prevents a wing getting switched onto the big in a two man game. I would expect that Painter does very little high screening with Edey and just sends him to the post.