The Board is unlikely to release you, regardless of whether the request is from the union or the company, unless they believe that a deal is likely to result during the cooling off period.
I disagree with your assessment.
The reason that we are under the NRLA is the government does not want a strike/labor striff to interfere with national interests/commerce. A nationwide railroad, or airline strike could have major impact on the economy/national defence, etc.
NetJets is a tiny operation. If it is permanently grounded it would have virtually no effect on the national economy. Warren Buffet could ride on Southwest, or a part 135 jet.
I suspect the NMB will get a little political pressure from the money-boys and NetJets will be released quickly and we will be locked out sooner than anyone is even guessing.
We are definitely better off preparing for a lockout rather than discounting it out of hand.
If Hansell gets 20% of the NetJets pilots to accept his terms (lots of money to be made by those who cross the picket line!), he can limp along with sell-offs and contract pilots (even EJM pilots on their off days) for long enough to hire and train our replacements. Generally NetJets' customers are not pro-union and will be quite patient if they think it will get rid of those "awful unions".
The key to a successful strike/lockout situation is the savings of the
individual NetJets pilots (that's you and me!). If you haven't got savings that will last you and your family for 6 months, you need to. We'll need 100% of the pilots on our side of the picket line.
If the lockout doesn't happen, you've built up a nice nest-egg and gotten your financial house in order. Start saving!