This is correct according to a very quick and easy check.
Suggested Characteristics
Use the tables for the acolyte background in the Player’s Handbook as the basis for your traits and motivations, modifying the entries when appropriate to suit your identity as a faction agent. (For instance, consider the words “faith” and “faction” to be interchangeable.)
When you choose Faction Agent as a background, it displays the suggested characteristics of the Acolyte background.
This is correct according to a very quick and easy check.
https://www.dndbeyond.com/sources/scag/backgrounds#FactionAgent