While the term "splitter" is apt enough, a better choice might be "mirror" or "duplicator." Essentially, an HDMI splitter mirrors input from a source device -- such as a media str ...

(NOTE: THIS IS ONE HDMI SWITCH, NOT HDMI SPLITTER) EASY TO HOOK ... 2K/60/30/24Hz, 3D, 1080P, 1080i, 720P, 720i, 576P, 576i, 480P; Support HDMI Output Video Up to 4K x 2K (3840 x 2160) 60Hz ...

You may need to search for a splitter with 4K 120Hz support, or else step your gaming down to 1080p. Likewise, if one of your outputs is an 8K TV, you'll probably want an 8K-ready splitter.