In the original question by the topic-starter there's so much that i find sad and depressing that i'm not sure why i even bother replying...
But i will,with a disclaimer that,firstly,all of the opinions below will be my own solely,and secondly that in no manner any of this is directed at the topic-starter personally,as an individual...
(1).Now What exactly does that mean,"hand-forged" ?!
And why did you put it in quotation marks( i myself do so above for reason of quoting your text)?
Running ahead a bit let me state My view on the subject:
There's NO exact definition of such term.Forging is never done by one's "hand".
It is accomplished by means of some tool or the other.The exact difference between such tools,be it a hand-hammer or a power-hammer or a hydraulic press with closed dies has never been specified by anyone.
There Is a strictly Informal,but (somewhat)widely accepted formula that holds that if the forging was manipulated under whatever power equipment manually,by a living person,that it then constitutes that elusive "hand-forged" principle.
However,that is nowhere near precise to have much meaning,as in the circumstances of say Council Tool where steel stock is fed into assorted machinery by hand...initially,as well as between different stages of the process...and what does that tell us?...
(2).Are you aware,Sir,that the forging process was primarily,with rare exceptions,only the Initial stage of the path to creating a tool?
That forging was inevitably followed by assorted finishing processes,be it Machining(by files in earlier days),Grinding,Sanding,Polishing,and so on?
Very rarely was a forging left with an oxidised,scaled surface;it was so at the very beginning of Ironworking cultures and is still so today...Over 90% of parts that comprise a modern automobile are forged...Do they look "hand-forged"?!(need they?!)
Even at the Forging stage towards the end a number of tools were used to create a not-forged looking surface:Flatters,tools with faces polished to 1000+grit;tools wetted for the resulting steam to blow scale off so it wouldn't indent the smooth surface...all that at a considerable expense in time and energy and tool maintenance...
So how does a "hand-forged axe" Supposed to look,Sir?!
You mention a
axe...(whatever That is supposed to be...perhaps you mean Type M,in Petersen typology?)
Are you aware that most axes from the viking age,as much as Can be known from the artefacts whose outer surface corrodes first,were ground smooth?
Now lets skip these details and get to the economics of this,something else that i found confusing in this message.
You seek to purchase an object manufactured in,i hate to say this but practically a Third World country.
I must presume that you desire to do so in order to save money(cos last i was aware this country has plenty craftsmen doing this type of work).
Surely you must realise that That is exactly where the potential "savings" may come from,that Ukraine is an unstable economically and politically,(they have an actual hot shooting war going on as we speak,and for the past 5 years(in which a blacksmith by name of Petr has gotten killed soon after it all started,a friend who taught me much about axe-smithing incidentally...

Yet for assurances you turn to this august body,a very much an American forum,in a country that has long enjoyed peace and economic stability,a country of Laws,those dictating labor regulations that includes wages of course...but i'm wondering,sorry.
And besides actual laws(but maybe thanks to them in part at least ) this country also has Mores,those that dictate that cheating a mail-order(or any other)customer is just Not DONE...
I agree most wholeheartedly...it's just i see a slight inconsistency there...maybe?..
I must ask pardon for bringing up some perhaps not most comfortable issues...but to me at least it's that elephant in the room....
And again,nothing whatsoever personal.
Respect,Jake.