That was also during the previous bowl selection setup, which changed with the arrival of the playoff system.
The way SEC bowl selection works now, though, is that - after the Citrus Bowl makes its own selection - the Outback, Music City, Liberty, Taxslayer, Belk, and Texas Bowls all make up a single, same tier of bowls - a "pool of 6" if you will - the matchups for which are decided by the SEC front offices.
The league decides the participants for each of these bowls. The eligible teams the bowl games they'd like to participate in, the bowl games each submit a list of the SEC teams they're interested in, and the offices make the final decisions. They do such with consideration to things like avoiding recent rematches, fan base proximity, if the team'a recently played in that bowl, etc.
Essentially, they're all the same tier/level of bowl now in this system.