LW M43 Hat Insignia Question

[Remy Spezzano]

Is this the correct insignia for a hat manufactured in 1944?

[Remy Spezzano]

photo 2

[Remy Spezzano]

photo 3

[John Hodgin]

Replaced insignia Remy, and a dubious eagle.

[Willi Z.]

An extremely dubious eagle.

[Remy Spezzano]

Thanks John and Willy for your comments.

Is the eagle just a plain out repro? or is it the wrong type of eagle for this model cap?

I bought this cap back in the 1980's at the Stratford, Ct Gun and Militaria Show.
Always loved this cap and the way it looked but never gave much thought about the insignia until now.