In general, HDMI does not work except in stock(ish) Sense-based ROMs. It is just an accepted fact, that is why it probably wasn't specifically mentioned.
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Current Personal Phone: Google Nexus 4 on Aio Wireless (Beanstalk ROM Official
Current Work Phone: LG G2 VS980 on VZW (Stock KitKat/Rooted)
Current Tablet: iPad 4 and Nextbook 8 Premium with marxo's N8+ ROM - Revision 1b2 (ICS 4.0.4)
Previous/Retired Android Devices: HTC Aria, HTC Incredible 2, Samsung Stratosphere, HTC Rezound, Samsung Galaxy S2 Skyrocket