Yes, the jury is still out.
But to comment further on the edge.
1. The wobble is seen on many colonial edges in cases where there was no retaining lip on the edge mill dies. Peru and Bolivia did use edge dies that wobbled extensively. But I have been led to believe by people who have examined the original dies and equipment in the mint at Mexico City that they did use a retainer. At least on the examples of edge dies that remain. It only makes sense that to edge without pop outs that a retainer lip had to be used. That I realize is hearsay but it is what I have been going on for many years and it simply makes sense. Did they ever use dies with no retainer lip - possibly but it would have slowed production rates.
2. Regarding the thickness of the coin. If you look at the edge pictures taken of the coin - at the point of overlap BOTH edge designs are visible side by side on the edge. They do not wrap around from the edge to the faces and they are not distorted to half height. If they did run onto the faces (an edge applied at an angle of say 30 or 40 degrees) they would be visible (in part) when looking at the faces of the coin - they would also be distorted by the strike - far more than I see.
However, new pictures taken at exact right angles to the edge and at the center of the lap could help to answer this question.
A displaced die fracture is often the way a real die fails. So the fact that there is a displaced die fracture here is not BY ITSELF a condemnation of the coin. But to see a displaced die fracture BEFORE there is significant die wear (flow lines caused by wear) is not as common. That would only happen in the rare case of a weak die that went to pieces very shortly after entering production. It does happen but not that often. When a die wears out and fatigues it tends to wear out all over. The features get spongy and details tend to wear off. Often the edge features like letters distort and start to blend into the edge dentils. The edge dentils erode and almost disappear. I don't see that here. The die looks far newer than that. If the rust specs still show from the die being stored and especially if the non radial brush lines from cleaning off the rust with a wire brush still show - this is a NEW die - so then the question becomes why is there a terminal state die fracture on a new die?
My concern is that soft dies crack quickly. Dental plastic casts used as dies fracture very quickly say after 5 or 6 strikes. But they are cheaply made do not damage the original coin and they produce a high quality field which only needs minor abrasive brushing to cover the inevitable surface blemishes in the die face. My concern is that a plastic die mimics what I see here. It is a plausible alternative explanation for the rust and cleaning lines and it is often seen with "soft" cracks and displacement fractures.
Die breaks are VERY common as is rust on the dies. Those who commented were correct. But just because it could happen you have to look at was it likely to happen - and was it likely that all these factors happened to combine here.
The shape of the edge figures is to me a very critical issue. The correct edge is always referred to as a circle and rectangle. But here it is a square containing a circle - rectangle - square containing a circle. For me that is simply the WRONG EDGE DESIGN. It may have been used but I have no proof it was. It would require a different punch. But think of how easy a forger could make that die. The edges of the figure are side to side saw cuts leaving a square of metal which you then drill out. Result a circle in a square - no need to make the circular punch to prepare the die.
The circle in the square pattern is well known to me I have numerous examples of COUNTERFEIT coins underweight and/or debased silver that use just this design.
I guess you have to be my head to understand my method. I do not usually diagnose on one fact. Sometimes it is possible - for instance a 21 gram 8R. But in most cases when commenting on a photograph, it is usually a combination of different factors that while each is
possible in isolation they are
rare in combination - which causes me to lean diagnose a coin as a counterfeit.
So just to recap a bit.
1. There are die lumps that could be rust or evidence of a plastic mold.
2. There are die scratches that could be from die brushing with a steel brush to remove surface rust or they could be caused by recent harsh cleaning or they could cover up a transfer impression.
3. There is a terminal die break which may have occurred on a new die or it could be a typical failure of a soft die.
4. There is the wrong edge design that "might" have been used or it could be a forgers shortcut method of creating the edge die.
So in this case, 1 and 2 are as likely to occur together as not. But they are far less likely when combined with 3 and the combination with 4 is a potential KILLER.
The likelihood of these 4 factors occurring on one and the same REAL coin is remote.
I have not addressed the other concerns like length of overlap - priority of overlap or specific gravity.
If the owner of this coin would like to have the SG tested I would agree to do it just to have the opportunity to see the coin in person. A picture may be worth a thousand words but a coin in hand is worth a million.
I checked the pictures on this post and decided to add a picture of the repunched? digit in the date. It is another suspicious element to add to the mix.

While copying the date picture I noticed another odd item that should be addressed. A series of depressions between the King's head and the DEI which have raised centers. To me they look like something dropped onto a wet transfer surface that corroded it in part.

Rayhaldo - let me know if you want an in person inspection and SG.