I found this on stuck Mic but it’s from 2009 so I’m not sure.
Maybe this will help clear it up. If you have 5 or 10 pt veterans preferences, it does not get added to your ATSAT score and for the 2152 anncmts there is no numerical score assigned to your application, just the ATSAT. When they divide up the referral lists, those with veterans preferences are reviewed FIRST before any CTI / OTS. Keyword being 'reviewed', not guaranteed a selection.
Here is the policy, bolded the pieces that are specific to the hiring process for ATC Entry Level.
When eligible external candidates are ranked according to numerical score based on a formal examination or a scored crediting plan, scores will be based on a scale of 100, with all applicants who pass or qualify being given a minimum score of 70. Veterans entitled to preference will have 5 or 10 points added to their scores and will be listed as follows:
1. For scientific and professional positions in grade FG-9 or higher, names of all qualified applicants are listed on a register in order of ratings, augmented by veteran preference, if any.
2. For all other positions, names of 10-point preference eligibles who have a compensable, service-connected disability of 10 percent or more (CP and CPS) are listed at the top of the register in the order of their ratings ahead of the names of all the other eligibles. Names of the other 10-point preference eligibles, 5-point preference eligibles, and other applicants are listed ahead of their numerical ratings.