From personal experience, the various quals that lead up to QAI wont translate into quals in the commercial nuclear world. They show a basic understand of cleanliness, general work package structure, procedural compliance and basic documentation. As a QAI, the closest equivalent would be to Visual Inspector (VT). The other disciplines for NDE (i.e. PT, MT, UT, RT) are what make up the actual qualifications on the commercial side. If you are on a carrier, the HTs working in the QA office are the ones carrying those qulas.
I see this stuff first-hand. I was the LPO in QA on a carrier before I retired in 2011. Qualified QAS, was qualified PPWS, etc. I now work in QA for a station building 2 new units. In the commercial world, there is QA (auditing, ensuring regulatory compliance, etc.) and there is QC or Quality Control. These are the inspectors performing actual inspections.
Not sure if this info provides clarity or muddies the waters even more. My advice is if you like doing the QA stuff and want to make yourself more useful to your command, go for it. It will also help you understand another aspect of the Navy’s program, QA and it’s inter-relationship with maintenance, for your future (if you decide to stay in).
Best of luck and thank you for volunteering to serve!