What is the effect of naming a party in a civil proceeding as a pseudonym?

As a general rule, it is now well understood that the names of parties, the nature of the case, the issues, the evidence and the positions of the parties are all part of the public domain. As Bastarache J. observed for the majority in Named Person v. Vancouver Sun, 2007 SCC 43 at para. 81: 81 ... In general terms, the open court principle implies that justice must be done in public. Accordingly, legal proceedings are generally open to the public. The hearing rooms where the parties present their arguments to the court must be open to the public, which must have access to pleadings, evidence and court decisions. Furthermore, as a rule, no one appears in court, whether as a party or as a witness, under a pseudonym. (Underlining mine)