I can't tell you how they decided to label the plant as 'Yumehanabi'.
You say now they told you "According to this page your tree appears to be a Yumehanabi" where 'this page' refers to the satsuki dictionary.
So they didn't have an ID, went through the book, found the page of 'Yumehanabi' and then labeled it as such.
I have been looking at satsuki azalea pictures for a long time now. It must be a little bit like recognizing faces for people in general, or chess positions for master level chess players.
When I saw the picture of the 2020 dictionary, I was wondering how someone had obtained a picture of my book, as it has similar wear on it, haha.
So I do not know if I see much more than a normal person not familiar with azaleas sees.
But I can tell you that your azalea does not match any 'Yumehanabi' picture, dictionary, SatsukiMania, Minisatsuki, Nagano, Satsuki Daisuki blog, etc.
This has nothing to do with 'trees will change both color patterns and sometimes flower shapes from year to year'.
And it is very close to Koun. I do not know why when you presented the seller with the evidence they didn't say "You are right, we are not sure. We tried our best to ID an unlabeled satsuki from Japan and though this ID would help inform a customer what type of flower they were buying." Sounds like the person that tried to answer your question wasn't the one that labeled this as Yumehanabi. Or they didn't remember.
Yumehanabi has these red tips and white centers. Koun has these random red patches.
Yumehanabi has these elongated petals. Koun is just a very star-shaped version of Nikko/Kozan.
Your azalea has the Kozan/Nikko star-shaped flowers with random red patches. It doesn't have elongated petals with red tips, or white centers.
I actually might label this as 'Koun' if I had this unIDed. I just want to cation people against mislabeling, because it can cause confusion. Exactly like we have here.
I can't imagine how this would have been in the past, without internet, and often without pictures at all. People tried to match cultivars based on text descriptions only.
If you see a flower like this one, you need to know why it would be Koun and why it doesn't be Yumehanabi, or vise versa.
In fact, there might be a third or fourth cultivar that I am forgetting that it could also be or be confused with.
[edit]
Sorry, I think I misread. So the Japanese did put a tag on it? And that was the same tag as you saw?
And the EU seller say they checked the dictionary and to them it looks like a match with Yumehanabi anyway?
So then you cannot really fault the EU seller. I still believe it is a mistake, though. Maybe you can ask the EU seller to ask the Japanese nursery to verify?
I would expect that if they are willing to do this they will concede that it is not Yumehanabi and therefore it must be Koun, as they know it is the only azalea they grow that looks like that.
Then you have an expert opinion to correct the ID.