Does an Air Assault or Airborne badge help Officers get promoted?

Not at all. PME completion, good OERs, and no bad paper (referred OERs, GOMORs) are what matters.

No

My civil Affairs Army Reserve branch offered Airborne and Air Assault depending on which unit you were in.. they also offered language school. But I can tell you that the selection rate back in 2018 was 90% for civil Affairs officers to go from Major to Lieutenant Colonel. Also, with the Army getting rid of so many officers who didn't want to get the vaccine, you have a lot more vacancies than you normally would thanks too bad leadership.
LTC Eugene Chu MAJ (Join to see) COL Randall C. CPT Lawrence Cable CPT (Join to see)

I would assume that military schools in general are a force multiplier in regards to promotion in addition to good fitness reports and all that. From my Observation it certainly helps to have those but ultimately it depends on how your package shakes out in comparison to your peers. If you don't have those schools you will need something else in there that puts you above your peers

My former civil Affairs company Commander was light infantry. He had Ranger school, airborne, air assault and Pathfinder. He may have made it to full bird colonel. As a lieutenant colonel you switched over and went to logistics. Remember that many combat arms officers go to Logistics to find a slot and get promoted. He was in the Army Reserve and he had switched from the Army National guard. I'm sure much of this may apply to the active component as well. So my point is, go for it! I didn't catch it at first that you were already Infantry.
LTC Eugene Chu MAJ (Join to see) COL Randall C. SGM Mikel Dawson LTC (Join to see) CPT Lawrence Cable 1LT (Join to see) Lt Col Jim Coe

#1 Doing your jobs, Especially those jobs that are unique or requiring fixing something that superiors are concerned about.
Examples: command of a tank PLT as an infantry officer; 3rd company cdr in 30 days the previous Two were fired; Inf IOBC Tac, BDE S2; Inf Bn S3, XO; Student then CGSC Faculty teaching Soviet Automated Decision making; mbr of 12 person team to design heavy component of the Army- allocated $400 billion in 12 months; Branch XFER to MI; Div G2; Army War College; head of Army Intelligence for theater Army; JCS J2 responsible for Bosnia War & Balkans.

I never obtained Ranger, Airborne or Air Assault badges. A BIG HOWEVER, the Army has a real and critical need for officer leaders who accumulated those qualifications and because I did not, doesn’t mean that I do not heartily encourage others to meet this need in their careers. In fact I was in a jump slot and my Deputy stepped up and fulfilled the jump requirement.

It can give you a little lift- showing a hard-charging Attitude- Look as senior staff and see the results. But it will not overcome stupidity, abuse, and lack of caring for your people.

CPT Railey, I have served as a board member on MAJ and LTC Promotion Selection Boards for Operations, Operations Support, Force Sustainment, and Information Dominance officers. Airborne or AA qualifications had zero bearing on the vote. Board members consist of every branch under selection, Colonels (Brigade Cdrs or former Bde Cdrs), and General Officers participating in a board that is, by statutory, HIGHLY GOVERNED. They are attempting to quantify a vote based on reviewing the officer's entire record and the performance and potential as reflected in the narrative of the OER and the block check. A badge is NOT going to tilt the scale. It matters most that the Rater and SR narratives are consistent and that the SR states that you should be promoted. In the end, each board certifies that officers recommended for promotion are in the opinion of the MAJORITY of the members of the board, fully qualified and among the best qualified for promotion.

I have no dog in this fight, not being an officer, but I sure hope not.

It should NEVER be about what's on your chest, but what's in your heart. Having a badge never won a battle.

On the other hand, those badges which are RARE and require a serious commitment to win, like the SF or Ranger tabs, might give an indication as to what is in your heart. If your only reason for getting a tab was to get a promotion, I seriously doubt if you can complete the course. It takes a lot more than that.

Doesn't hurt but the most important factor is performance and senior rater input on potential at higher rank.