Register is mapped to the page named Registration, which contains no shortcodes. It’s a blank page. When accessed, it simply redirects to the home page.
Last night, just before I retired for the evening, I was re-directed to a different URL that presented the form that I expected to see. I do not remember what I did to get there, but do remember the URL:
domain/site-tracking/create
That presents the form that I was seeking, and my problem has been solved — however I do not know why (yet).