When you walk sideways you look like so:
As you can see, no red hood visible on that sprite, but when you turn your back, you see red hood:
Which is inconsistent with side view and also looks scuffed.
Possible solution would be:
Add to the CX jar effect giving not only hat, but also "back", which contains hair continuation as on side parts.
(Im not pixel artists, just as rough example):
When you walk sideways you look like so:
As you can see, no red hood visible on that sprite, but when you turn your back, you see red hood:
Which is inconsistent with side view and also looks scuffed.
Possible solution would be: Add to the CX jar effect giving not only hat, but also "back", which contains hair continuation as on side parts. (Im not pixel artists, just as rough example):