I just tested this out and I don't think that's a particularly good example of bad UI/UX. Clicking the email address brings up a menu with options for other actions, which presumably get used more often. If, instead, you right-click the email address, the option to edit it is right there (last item on the bottom, "Change email address"). I don't see this as a huge penalty given that, as you said, it's rarely used.
There's also the "X" to the right of the email address, which you can use to delete it entirely, no extra clicks required.