New Redemption Grab Bag now includes an assortment of 500 cards from five (5) different expansion sets. Available at Cactus website.
With Household Idols active Gabriel Meets Zecharias could still search for a N.T. Hero and add it to hand, but could not add it to battle. Similar to how if Captain of the Host banded to Jacob [FooF] (say from a gathering ability) Jacob could still band but he could not play an enhancement.
If Household Idols can stop good banding cards from enter battle without it itself being in battle, I don't see why Claudia/ET/RTC with Gen. Hero in territory wouldn't do the same.
Yet, it was never intended that a ignoring character in a territory could stop another character entering battle. The whole point is that a rescuing Hero can stop certain characters from entering battle. The relevance (as well as the limitations) of continuing to ignore while in a territory is that other things can't be done to that character (shuffled, discarded, set-aside) by the character or brigade it is ignoring.