Paper Doll doesn't show up if Customize Controls is enabled

Steps to Reproduce:

1. In Settings > Video, turn off Hide Paper Doll and set the UI Profile to Classic
2. In Settings > Touch, turn on "Customize Controls (Experimental)"
3. Close the Settings menu and then run, sneak, crawl, or ride minecarts and horses

Observed Results:
The paper doll doesn't show.

Expected Results:
The paper doll should show.

Notes:
A touch device is not needed to reproduce this, as you can turn on the Customize Controls option on a PC.