I would much rather get an email than a page. The only issue is those parents with chronically ill or what they think are chronically ill patients who email a lot. Then I just wait until the emails aren't urgent, and I ignore them. I am just not very confrontational.
I also think if they initiate the email conversation, you are on much firmer ground.
I made the remark about the HIPAA police and still say I will make a costume for Halloween some day.