Burdasov is so intriguing because he does the little things when the Oilers have the puck, and then he has that shot. But when the other team has the puck, he doesn't do much defensively, he never recovers the puck. Neither checking the other team or getting to a loose puck.
I just think he's run out of time. He's not done enough to demand to be signed, and it's time to ice the final line up to be ready for game 1.
Also, remember there is that thing about his ask; the word was he won't sign for less than $1.7M and based on that I would get the sense he won't happily put in work adapting his game in the AHL. An impatience or sense of entitlement might quietly keep him from getting signed too.