We got back into the lack of success in March by BU, so I went back and dug up the stats through 2022 season for the best coaches in the game at that time. (This was during last year's tourney so didn't include results for 2022).
Kentucky - Calipari (13 years as head coach)
10 tourneys in 12 years
seeds: 1(3), 2(3), 4(2), 5(1), 8(1)
4 final fours with 1 title
3 elite 8s
2 first weekend exits (including 1 in first game - last year as a 2 seed, the other as a 4 seed)
Villanova - Wright
16 appearances in 19 years
seeds: 1(4), 2(4), 3(1), 5(2), 6(1), 9(3), 12(1)
3 final fours with 2 titles
2 elite 8s
8 first weekend exits (3 in the first game)
note that despite mostly excellent seeds Wright was bounced half the time in the first weekend
MSU - Izzo
19 appearances in 19 years
seeds: 1(1), 2(3), 3(2), 4(1), 5(3), 6(1), 7(4), 9(2), 10(1), 11(1)
5 final fours
2 elite 8s
9 first weekend exits (5 in first game)
frankly Izzo probably has the best record considering his seeds
Duke - Coach K
18 appearances in 19 years
seeds: 1(7), 2(7), 3(2), 4(1), 6(1)
3 final fours w/ 2 of those ending in titles
3 elite 8s
5 first weekend exits (3 in first game)
Kansas - Self
18 appearances in 18 years (only coached 19 years at Kansas)
seeds: 1(9), 2(3), 3(3), 4(3)
3 final fours ending in 1 title
5 elite 8s
7 first weekend exits (2 in first game)
never worse than a 4 seed and bounced 7 times in the first weekend
N Carolina - Williams
17 appearances in 18 years (only 19 years at NC)
seeds: 1(8), 2(1), 3(1), 4(1), 6(2), 8(3)
5 final fours ending in 3 titles
3 elite 8s
6 first weekend exits (1 in first game)
Note that all of these guys have not only many first weekend losses, they have lost the first game a number of times (almost always when they were a better seed).
BU has won as a 12 and 14 seed, and he has lost the second game in the first weekend as a 1 and 4. Don't think his record is so bad. If he gets five top 4 seeds and doesn't make it out of the first weekend than then there might be an argument, but 2 is not really a trend especially when you consider he has had success as a double digit seed. It is hard to get to the second weekend even if you are a blueblood (only 1 of 4 tourney teams makes it).