Olivia's children had faith in her the most.
Thus, Willow believed that Olivia had her reasons for acting so out of character.
Sean was equally dubious as well, but he brushed it off since she always took care of him whenever they were out.
He trusted her after spending time with her for a week. In addition to that, she had a daughter.
Hence, he didn't look too much into her actions.
Still, it was undeniable that their actions appeared intimate to others.
Olivia secretly observed Claire