The ranking of formations matters much, much less than the frequency of formations.
Using this table to track formation tendencies.
The Cards rated 25th in 11 perconnel (one back, 1 TE), but that was still 50.4% of total plays. Do we need a credible option on more than half of the plays?
According to this table, the Cards ran 12 personnel at the 8th-highest rate in the NFL, but that was less than 30% of the time and passed out of that formation 41.7% of the time.
Yes, we were 2nd in 13 personnel, but it was 150 plays.
There's also a chicken-and-egg problem where are we playing more 12 and 13 personnel because of a philosophical basis or because our #3 WR (and often #2 WR) were below-average, and you're trying to get your best 11 players on the field.