Livescan Question

Ranked #1 - VET for ITS I, II. Some agencys list DOJ/FBI livescan, Some list DOJ/ Livescan. Some have no mention of background check being required for the same classification. My thought process is

DOJ/FBI - State/National

DOJ - State Only

None - Agency does not do backgrounds or just forgot.

Would you agree? Do you know of any agencys that are DOJ only?

BACKGROUND

I previously worked for a school district and have had no problem. Nothing showed up on DOJ only live scan

I am a veteran that had a problem with alcohol for several years that had result in 3 dui, all out of state. 2012-17. Although most of the jobs are remote or so not require driving, I have issues with background checks in the private sector for this reason.

I understand "califonia law" but i have had job offers recinded that were 100% remote, working on computer networks. So i think fair chance is just a waste of time of everyones time