since Wichita State and Tulsa were behind Michigan on the final S-curve, they'd have still got in even with Louisville and SMU included in the field.
On a side, note "4-12 vs top 100" drastically undersells Michigan's record. 3-7 vs top 25, 1-4 vs 26-50, and 0-1 vs 51-100 (road loss @ OSU). Only 13 teams in the country had more wins vs the top 25 via RPI and only 8 teams played more total games vs the top 50. If some of Michigan's opponents had been a little bit worse, Michigan would've racked up more wins vs top 100 teams and had a shinier top 100 record. But when you play 14 games vs top 35 opponents including 8 away from home, wins are tough to come by.
So I wouldn't call Michigan getting in the tourney lucky. They were quite unlucky in that they didn't get a chance to play but 1 total game (on the road) vs teams 51-100. They were 5-0 vs teams 101-125 and 16-1 vs teams ranked 50 and above
winning only 4 games against top 100 is ugly even if they are all in the top 50..that may be the least of any at large team...and what happened to you saying that you guys didnt need to win another game....Looks like you had to win 2.