Sure, flow may help, but (a.) it's not guaranteed, and (b.) if you are less employable for any reason, flow won't trump that, Wholly-owned or separate-company-with-flow.

If I were the VP / Flow at MajorAir, and I used that to fill my slots, leaving MyRegional unable to staff their flights and deliver customers to the MajorAir hub, there'd be a fight in the CEO's office about the problem.

Plus, why would I take a Flow-Dude with problems over somebody from No-FlowExpress with better credentials. If the flow process didn't flush Flow-Dude out, then training probably would. (Yes, there are exceptions, but they are few. Think Continental 3407 - would you take their CA?).