This issue has been debated in Hassan's case. The Department of Justice currently says that, no, they are not entitled to disclosure of the evidence that is with Canada. For example, there was a fingerprint analysis that was done in Hassan's case, comparing his fingerprints to fingerprints that were found on documents that were handled by the suspect, and these fingerprints were negative. However, Hassan was not told about that—nor was his lawyer—or about the extradition charge during the committal phase of the extradition hearing. The rationale of the Department of Justice is that Hassan is not entitled to know such evidence because the extradition law allows this.
On February 6th, 2023. See this statement in context.