Byleth gives him the grace of not commenting or refuting him all too much right now. He has confidence that Emet will eventually gather his wits back. Right now, the best he can do is offer the comfort and stability to facilitate that faster.

"Well, rest assured it is seen to." Byleth assures him, affording him his personal space for now.

"What is the last thing you recall doing?" Perhaps it will help jog his memory? Or confuse him further, Byleth isn't sure, but he's willing to try. His tone is even and calm as ever. He's careful with his words, knowing how prickly the man can be on a good day. When he's confused and in pain, he doubts for the length of Emet's patience.