"So the partiality of the Red cross remains dubious at best." No, that simply does not comport with reality. The fact is in as much as any huge international organization can, it tries to not take stands on issues that will complicate it's mission to bring relief to civilians. True "political correctness" so as not to offend and become embroiled instead of carrying on a humanitarian mission. This stance lets them even carry on workshops in Sudan to the Sudanese People's Liberation Army (SPLA), the force in charge, to teach them to integrate international law into their procedures. Your claim about some "partiality" on the part of the Red Cross is a feeble attempt to discredit a hugely effective world organization just to obscure the fact that Israel is one of the human rights abusers it has to list as a consequence of its day to day operations in the world.
More than 2,000 migrants threaten to break out of Hungarian camp (Reuters)
from the article: Red Cross: Israel worsening Palestinian humanitarian crisis