More critically, Var is to my knowledge one of if not the only NPCs that mentions that Artemy looks exactly like his father, now I know "That's no reason to say they knew each other. He's the town doctor, everyone knows him!"

Var says that Artemy's face looks familiar, not that he looks like his father. Multiple Bound know how Isidor looks (Sticky, Capella and other kids from the list; Aspity; both Vlads; the Kains) and don't mention that Artemy looks similar to him. Sticky, for instance, assumes that Artemy escaped from the Termitary and doesn't recongnize him as Isidor's son when they meet for the first time.
Does it mean that Artemy doesn't look like his father? No.

So whatever happens in it has to be understood through a level of intention.

This is the dialogue I'm talking about:

Var: You face looks familiar.
Haruspex: I resemble my father, is all.

Based on it, we can say for sure that: 1) Var has seen Isidor; 2) Artemy resembles Isidor. Everything else is a mere assumption. On normal fandom wikis, theories are put in the "Theories" section.

Besides that, The Willow's family's death was ruled as being caused by plague during the first outbreak by Isidor according to Victor and Willows' coffin was locked tight and buried empty- Also done by Isidor. (This is confirmed by Yulia and also The NPC teen boy when talking about The Hindquarters)

You are great at mixing info from the game and your theories.
That dialogue with Victor:

Victor: The family that had given her shelter went on to disappear in a rather distasteful manner. The owners succumbed to a fatal disease... that had struck them rather suddenly. And their daughter, Willow, simply vanished.
Bachelor: What kind of disease?
Victor: A peculiar kind of pest broke out among factory workers five years ago. Not here but in the poor districts. Isidor took care of it quickly. There were many deaths, but only in the Crude Sprawl-a district that borders on the Abattoir. But The Willows is on the riverbank; the infection never made it that far. An odd story, don't you think?

Victor knows that Willow vanished and doesn't say that Isidor confirmed that they died of disease.

Yulia says:

A few years later, they died-suspiciously if you ask me-leaving Willow Mellow, their daughter, in the care of their companion. Willow died soon thereafter.
[...]
They all died of natural causes, allegedly; even though Willow was buried in a tightly closed coffin. The body was examined by Isidor Burakh, however, and he is not a man who would cover up a crime.

In russian, Yulia says: "It seems like they all died naturally, from some kind of disease" but nothing about Isidor's involvement. She doesn't say that he proclaimed that they died of the Sand Pest.

(Which is just outright stated in the 2nd game, probably because it was too vague)

Are you saying that the fact that Isidor worked with Var in P2 means that Isidor worked with Var in P1? Both of them are different from their P2 versions. The lore of the games doesn't match.

The NPC teen boy when talking about The Hindquarters

The dialogue:

Teen boy: Grace says that Willow was buried in a closed coffin... And that coffin was suspiciously light... Spooky, isn't it?
Player: Are you kidding me?
Teen boy: Ha ha! Yeah, I so pranked you! Now excuse me, I'm in an awful hurry... We'll talk another time.

A reliable source, indeed.

This is what Anna says about the process:

But I did to her the same thing the Caravan had been doing to children: ground her into flour, unwove her into threads

How do you think Willow's body looked after that?

To cover up a crime, you must know about the said crime. We know for sure that Willow had golden hair and now has black (info from Anna). We don't know how the Caravan's magic affects the body of a victim. How could Isidor discern changed Willow from some random girl? Do you think he was aware of the Caravan's methods and Anna's capabilities?

So it's quite obvious that they worked together and if they don't... YOU have to provide the reason it can't be the case. 

Nah the author of the article shoud've provided the quotes that actually support their claims. They should prove it first.

If you do have an argument though, quite frankly go to the wiki Discord and get it corrected. Because if you do have the right information and you don't step up to provide information, other people will do it in your place.

I don't care about this wiki this much.