"If work stopped, the companies would feel the pressure and so would the organisation with the head contract - maybe that pressure would assist the negotiators to apply themselves.
I could be wrong, and I stand to be corrected, but from the point of view of the individual families, it might feel like their loved ones are just names to the negotiators, more so as time passes and platitudes and comments like "we're working on it" and "they'll be fine" start to seem meaningless. Perhaps something like work stopping would give the negotiators more incentive to secure the freedom of the hostages."
Agreed, believe this would put pressure on organisation/companies to seriously look at and do something about the security measures. Something has to be done sooner or later. The end result would be the same with no crew flying due to pilot shortage SO how much longer and what does it take before management react.