People who make suits will tell you that steaming a suit is a very bad idea, for this reason (among others). What your suit needs is a good pressing. (I'm not able to make out your photo for some reason)
I really do. I had one that specialized in bi-national taxation (I live in the US and used to have rental property in Canada) but they were gouging me so when I sold my property in Canada I got rid of them too.
A bluff edge may also have some invisible stitching holding the facing to the canvas anywhere from 1/4" to an inch from the edge. You won't see this stitching but you could feel it if doing the pinch test.