Ti requires one to accept information as truth.
Te does not require one to accept information as truth, because it inherently is truth.
If someone told me Bob was at a party and I agreed and believed it, I made Ti judgment because it would not be a logical contradiction for Bob to not be at the party. The person could have lied or Bob could have left or never went.
If Bob died at the party and someone told me and I didn't believe it, I again made a Ti judgment. However, the statement, Bob died at the party is a Te judgment. It does not require me to accept it, he still died at the party.
To judge something, via external standards, as truth is not the same as truth. It is, however, more assumed upon as oppose to introverted judgment.
Think in terms of your own Fe, have you never failed in judging the ethics of your surroundings?
Key word is "Judge". It is a "function" ---f(x). A tool. "A tool is only as good as its user."