MP got back to me. Only took three days (I submitted on March 17th):
When an application is received by Immigration, Refugees and Citizenship Canada (IRCC), it can take several weeks before the processing begins.
Information will only be available on file when the processing of the application starts.
We can confirm that at this time there is still no application for your constituent in our records. We can confirm that the Case Processing Center is working on applications received on February 12, 2020. Rest assured that once the application pass the completeness check, it will be uploaded accordingly in our system.
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It looks like a canned answer to me. Just have to wait some more.