It kinda does seem like it would be considered streamlining, which is not allowed.
Multiboxing, or playing multiple World of Warcraft accounts at once, is not a violation of our End User License Agreement. Please note, however, that use of all software or hardware mechanisms used to mirror commands to multiple World of Warcraft accounts at the same time, or to automate or streamline multiboxing in any way may result in account penalties.
For more information on our stance about input broadcasting software, see our official forum post.
The software even has a setting to NOT allow it during game mode.