I can tell you that the customs insignia is all good, as for the cap itself i can not comment.
Thanks for the help!
Initially I would say yes good cap made from eskimo wool, the inignia looks original and it has a leather visor but................
it is not a "crusher" or M34 as you call it IMO. I believe it is a service cap with a leather visor and the chincord removed. Only hands on will determine this for sure but I raise the issues as they effect the cost of the cap. A true crusher would cost a lot more than a service cap and you will need to be sure what you are getting.
Cap is a good one with damage that is certainly age related, hope this helps