After all the replies you gave me, I was positive that the Lucas cap should have the Lucas name or logo on it.
So I've asked Atlantic British to me a Lucas cap then. When I received the new cap, it came in a Lucas box but as the first, it had no markings again!!!!
I sent pictures of the cap over to AB and they've insisted it was a Lucas cap...
I've attached these same pictures on this post and I once again ask your help to identify this cap... Thanks!