Definitely valid criticism! The main colors of the coat are based on Heavy's pants, and I wanted that to remain consistent between both teams. Mostly for consistency and combo potential with other existing cosmetics, such as the Soviet Gentleman, Warhood and Ol Reliable.
Would suck for it to all match properly on BLU team but not RED, which was my thinking.

If I happen to update this item in the future I'll definitely look into making RED team redder.

I second this, more brown less muted green(?)

The blu version is fine, but the red's colors are weird. I think you should replace the gray with redish-brown.