Im sorry, and hate to go against the experience, but in the large photo, i see what seems to be seams, and some other metal near feet and swastika that just does not look right, If the experts say good, Ade, Mint, and others, Im sure its good, just strikes me as "funny" we are all here to learn and share Thank you.
The areas you see are completely normal for this type of aluminum eagle. If you look at some of the photos the OP provided you'll see that the eagle has been bent a bit. The Swastika appears to even be bent outward slightly. You're simply seeing the edges of the Swastika. I've seen this before where the wings are bent backward to create a unique look.
M4l700, you should have no reservations about this cap. If you do buy it, I would leave the eagle's wings alone (in my opinion). Although the soft aluminum would be easy enough to reshape it was likely done by the original owner (IMHO) and should remain as-is.