Health,
I don’t see how they could hold either way. They either hold protesting is a kiddush hashem, in which case it is odd that they haven’t publicly made a kiddush hashem by encouraging their followers to protest, or they can hold that protesting is not good for some reason (or just serves no positive purpose), in which case it make perfect sense that they have not encouraged their followers to to protest.
Secondly, the Agudah’s policy of not publicly protesting in Chutz L’aretz is long-standing and well-known since before WWII.