This very likely is a difference between Win and Mac so we need a Mac user to confirm.
In the meantime I'll share my experience from the other side...
As you've already observed, on the Windows side a primary way to remove a Control Point (CP) is to select it and hit the Delete key on the keyboard.
Occasionally, it takes two selections to grab the CP; the first one to activate it and the second to actually select it.
Or to put it another way it seems that the first is to enter the edit mode and the second to select the CP.
You should be able to marque select or mouse drag the CPs and then hit the delete key as well.
For those that cannot or do not want to use they keyboard the CP can be deleted via the Edit menu after selecting the CPs. Go to the Edit menu (at the top) and look for the Delete option.
(It'd be nice if there was a Right Click option to Cut or Delete but alas... that option isn't there upon Right Clicking)
All this is of course after selecting the Control Point Editor Tool (shortcut key C on Windows)