I am tending to agree with Rumples on this although it should be noted that Chloe is with FKS now and using her own name.
I don't know what the law is in Montreal but in Connecticut, the trade name statute would or might also come into play. I would guess that Quebec has the same type of statute. The statute requires legitimate businesses that are using fictitious names, as opposed to real names, to register the name in the local municipality in which it is doing business, so that those who have a dispute with the business know who to legally sue. The question becomes what is a fictitious name one must register, and what is a "real" name that is exempt from registration (example: Joe Blow's Plumbing and Heating is considered a real name because Joe Blow operates the business. On the other hand, "Second Cup" is the fictitious trade name of a coffee shop and they would have to register). The purpose of the law is to "know the person or company behind the fictitious name."
Some years ago, on behalf of a client, I got into a legal pissing match with a well known local business chain where the client was injured. Upon scrutiny of the local trade name registry I observed that their business name was not registered. Thus I did not know who to sue, properly, because there were 8 different corporations in Connecticut registered with the Secretary of State using that name in some fashion.
I sued all 8, and it turned out, the correct two companies behind the trade name were among the 8 I sued. I then let the other 6 out of the lawsuit, and amended the lawsuit to sue the 2 correct defendants for violations of Connecticut's trade name statute and Connecticut's Unfair Trade Practice Act, in addition to seeking damages for my client's personal injuries.
Incredibly, the defendants argued that they were using their real name. The basis for this argument was, "everyone knows who we are." I argued they were using a fictititious name because they were a corporation, and their name was a "made up" legal name which was a fiction (think "Second Cup"). I argued that the test was whether they came out of someone's womb and were given a birth certificate. After a heated oral argument in Court I lost on the trade name and CUTPA claims, because the politically correct, wimpy-assed judge decided he did not want to rock their boat. I did win on the underlying personal injury claim.
I don't think any of the parties to the present controversy came out of someone's womb named "Chloe Milan." Technically it would probably be a fictitious name subject to trade name registration requirements - as well as trademark law.
I would bet a month's worth of my salary plus my bonuses, against a stale Tim Horton donut, that none of these people will ever litigate these issues in any Canadian court.