With respect Mikejw,
If Witnesses from outside of a disaster area can get in, so can local government agencies and NGOs who have a lot more resources to distribute. And quite frankly, the Witnesses so called relief programs are centered around rebuilding their own Kingdom Halls as their prime mission, not relieving the physical suffering of people.
But this is the thing that really gets me.
Any help offered by the 'disaster relieve committees' goes to congregational members, yet Jesus (the person who's example the Governing Body is suppose to copy) didn't first check people's religious standings before he cured them. And in our Lord's parable of the 'good Samaritan', the Samaritan didn't precondition his help either.