I very much doubt the shenanigans will be revealed in public. I imagine that senior management will have their CVs marked by the collapse of Flybe - there are too many potential libel lawsuits and nobody is paying for a public inquiry.
If being hired for a role paying over £100k, you can certainly expect a new employer to Google the person and look them up at Companies House, even if they find a way to disguise their employment at Flybe. Any new employer is likely to be significantly smaller and lower profile