When someone was faced with two choices, they often used a form of 'divination' to decide which choice they would take. Either by plucking a flower's petals, or by throwing a coin. More often than not, however, their true desire would reveal during the process of waiting for the last petal, or the time needed for the coin to fly in the air.
Eventually, regardless of the divination's result, they had already made a choice in their heart.
In Arthur's case, he already knew what answer he wanted to receive from his mother. Despite knowing that his online search revealed nothing, Arthur still wished his mother would say that the perfume with neutralizer effect did indeed exist in this world.
Because then, he wouldn't need to doubt Eugene. Because it would mean Eugene didn't lie about the scent. It would mean Eugene only lied about having a partner, which Arthur could chalk up as an omega's caution against an alpha he hadn't known for a very long time.
