While Amelia was starting her journey of becoming stronger in Arcadia, Keith was unaware of it. After all, no matter how powerful his instincts were, as long as it wasn't directed to him and wasn't related to him, he couldn't receive any information out of thin air.
Since Amelia didn't have any thoughts against Keith for the time being, Keith didn't know about Amelia's actions. If Keith used his First Order skill and raised his Ultimate Instinct skill grade to U-grade temporarily, he might know about Amelia's situation.
But the premise was that he even had such thoughts.
It was like when a person goes to the movies to watch a war and action film. It was impossible for them to even have the thoughts of visiting the zoo afterward unless they watched a film with a nature theme instead of war and action.