This is still a debate about down lineman versus defensive lineman. Perry is down, but he is not a defensive lineman. He is a OLB.
However, I do agree that with Perry inside the O Tackle, his role and responsibilities here, hand in dirt or not, are likely to be down lineman like. But they have used this formation less than 20 times in three games.
Problem with Neal for Matthews is that you limit your pass rush.
Also, Bear front was versus Eagles not Bears.