In private emails with Inverse we came to the conclusion to add a button, which switches between:

• the current views (day, multi day, week) with max 4 whole day events and scroll bars if there are more of them, with the time delimited events below.
• views which show all whole day events independent of how many there are, but do not show the time delimited events.

The button should be available as long as there are more than the 4 whole day event per day in the current view, to avoid user confusion. This means if any day in the week view has more than 4 whole day events, the button has to show up for the complete view, not for single days.

The toggle button moves out of screen, if you have enough whole day events.
You also can not scroll down to the events at the bottom.
See screenshot.