Hello Aguest!
It's obviously cannot be any of your guess.
The most reason is: In Hungary the given name is the second, the surname is the first. So if the maker would be Karl (in hungarian Károly), the mark would totally different, for example ATK, or TAK.
Most likely the maker of your box was the firm of "Kurtz Testvérek és Adler Vilmos.
This paper from 1927:
The sources mentioned Kurcz Izsák and Ferenc from 1913. The last mentioning of the firm as KTA is from 1944.
As you can read, they were specialist of the gold- und silver boxes.
I hope this helps.
Best regards!
Krisztián