Their main goal was to save the children.
Getting distracted from accomplishing that goal would only speak volumes of their true desires.
Ilya wanted to make them choose. She coveted to see whether they're fit to bear the consequences.
What consequences were there to take into account?
Of course, Ophelia Hamlin had been abducted. Ilya could save herself by simply concealing herself. And she wouldn't take the blame on behalf of the people who told her to abduct the woman.
Changing her appearance was easier than being confronted by the punishment of her crime.
"I'll be needing your answer this instant. We have no time to waste." Ilya said, "It would pay all of you to be decisive during times when it mattered."