Removing groups from the blueprint tree (#5326) resulted in a regression on visibility control. We decided to address it with a tri-state, inherited, visibility property (huddle minutes), whereby a given data result visibility is either unset (in which case it is inherited from parent), overridden to visible, or overridden to hidden. This means that the "eye" button needs to be tristate as well.

The initial proposal is to rotate over the 3 states with each click, and use 3 distinct icon, such as these:

@jleibs's proposal below is a better shot, at least as initial implementation.

For the selection panel, the simplest change would be to change the check box to a 3-item combobox.