About flexible work permit

Forget healthcare status.  It doesn't impact anything.  Don't be surprised if it changes to A later. 

As for public hospitals, you will have to pay a token amount and for private, you would need to have health insurance or pay higher rates.  Doesn't matter status A or status B; same cost impact to you .  In other words, whatever is on LMRA site doesn't determine what you pay - that is the same for public hospitals and for private, only affected by a private medical insurance policy if provided by your employer.

Flexible permit is mostly for blue collar jobs and / or for workers whose permits have expired or been cancelled.  It doesn't apply to you and you can't get it.  Hence it says, not eligible!