“Firstly” and “Secondly”
Surprised you said.
Firstly, when it comes to halacha and the rabim, the OU and Rav Belsky know that ultimately they are responsible only to Hashem and would not mislead anyone if they felt the halacha was otherwise. There are many ways to save face if that’s a concern; just look at the posters in the CR, they are the best at that.
Secondly, as someone indicated earlier, “heard it from somewhere” doesn’t cut it in halacha. It’s like saying that the hashgacha on a restaurant is “everyone eats there”.