As was pointed out to me by a helpful junior member, the Google Calendar website does in fact have Google Tasks integration -- with his prompting, I found the toggle, which is somewhat buried (the context menu button to the right of the Reminders option in the left-hand calendar list). I'm not sure if this has always been there, or if it was a relatively recent change after Google reintroduced their mildly revamped Google Tasks. My thanks to that member -- I always appreciate learning something!
Due to some behind-the-scenes issues, this thread will be closed.