In org-mode's daily/weekly agenda view, is there a way to display the full context of the entries?

My reading of the code is that it finds the first heading above the timestamp and displays that. However, in my case, that heading is often 3-4 levels deep and doesn't make sense without the bullets above it. It also doesn't seem like there are hooks to easily change that. Filtering is trivial, but not changing the fundamental presentation format.