The airbag is one of the most important safety features in your vehicle. Therefore, the manufacturer of the airbag as well as the automaker that uses that airbag needs to be sure that it will work as intended in every car it is put in. If not, it is on either or both of those parties to agree to a recall.
However, a recall is not a given as the party that calls for the recall doesn't want to admit that it created a dangerous product. In addition to the money that the recall would cost, the embarrassment a brand could suffer could cost it sales both now and in the future. The good news for you is that your attorney will look into whether there is a public safety issue that should be acknowledged after your airbag defect incident.