I think Joe kidd is the man with no name and here's why.
In the movie he is An ex-bounty hunter right. wasn't the man with no name a bounty hunter and in a fistful of dollars his name is Joe. so after Good the bad and the ugly he settled down with the name Joe. That what i think
I always figured that the man in the dollars trilogy was a man named Joe "Blondie" Monco. Went by his first name in Fistful, by his surname in More, and by his nickname in Ugly. ..I dunno, could be Monco was also a nickname, and then Tuco started calling him Blondie when they met. So maybe his name is Joe "Monco"/"Blondie" Kidd.
Or it could be he changed his name because he had made too many enemies over the years.
"We fight and then we fucc, that's our thing."
Actor,
First of all Joe was perhaps the most common name, actually shortened name, in those times, Joseph being the most common Christian name. Joe in turn became and still is a name used to refer to any man. As in "he's a regular joe". Add in that in Mexico calling him Joe would likely be used precisely for someone who has no name because it designated him with a generic American label.
So a loose reference to some character as Joe doesn't even begin to establish that his given name was Joseph. SO there's that.
I do not agree that the Eastwood characters in the trilogy were meant to be the same person. The similarity of the characters is of course a given, but that mere similarity does not make them the same.
For exampe at the end of For a Few Dollars More we can expect the protagonist to come away with a bounty of nearly $30,000, which in those days was more than enough to set him up in a variety of lines of business that would no longer require bounty hunting. Yet in TGTBTU he and Tuco begin the film apparently living not much more than deal to deal involving turning Tuco in. For that matter his whole manner of going about his business is totally different, in effect defrauding those who he turns Tuco over, only to free him later.
In fact I think it likely that the events that occured in For a Few Dollars More occurred sometime after 1873, when El Paso was first incorporated, and 1881, when the railroad first arrived in town. I say this because obviously a major bank was put in El Paso, why would it be before the town was formally incorporated? That alone means that the events there probably occurred ten years after The Good The Bad and The Ugly. Concededly A Fistful of Dollars is of a generally indeterminate time period, except that the presence of US troops near a border with Mexico would limit it to probably after the US Civil War.
Other Eastwood westerns did not make use of the man with no name concept in quite the same way. While High Plains Drifter's protagonist is not named, I happen to be one who thinks he is the reincarnation of Marshall Duncan. Josey Wales obviously does not apply, and neither does the Wiliam Munny character in Unforgiven. Hang Em High his character is explicitly called Jed Cooper. The sole exception in post trilogy films is Pale Rider, but that character I think has more similarity to that in High Plains Drifter, that being a returning avenging specter come to life.
What then is the point of having a character that is not named?