Are child_of and show_empty incompatible?

First, thanks so much for your work on this plugin!

I’m trying it out, and am having an issue that may or may not be my fault. I’ve set up two pages, one to display all tags on the site, the other to display all child categories of a particular parent. I’m also trying to hide any items on both lists that have no post connections.

My tags page works fine hiding any empty tags, I can hide empty categories when pulling in all categories, but I cannot get it to hide empty child categories.

Is this simply something that just won’t work the way the plugin does its thing, or could I be doing something wrong?

Here’s my code:

[mctagmap show_categories="yes" child_of="16" tag_count="yes" responsive="yes" width="150px" columns="3" show_empty="no" ]