"...insanityOO7, you should communicate with Allah then and tell Him He is very wrong about ordaining women not to wear niqab for prayer or during pilgrim. You and all "men" scholars seem to be better informed..."

You read about women not wearing full hijab during pilgrimage from the same sources which refer to women wearing hijab in normal circustances.

So you cant deny a part of it and agree to a part (which suits you)..

Imam Barbaharee rahimullah said There Are No Analogies For The Sunnah.
"May Allaah have mercy upon you! Know that the Sunnah is not a matter for analogies or reasoning with examples, and desires are not to be followed in it. Rather, it is just a case of affirming the narrations from Allaah's Messenger (sallallaahu alaihi wasallam), without asking how, explaining or saying: 'Why?' or 'How?'"

You can use all your logic in trying to verify whether the source is correct or incorrect. However if it is proved that the source of information is correct then we need to beleive it (even if we dont like).