Monoprice markets this very same gadget that handily solves the problem of having too many HDMI sources and not enough inputs.

Soundbars with one or a just few HDMI inputs supplanting A/V receivers with six or more HDMI inputs was supposed to simplify our home entertainment systems, but many of us have discovered that we have too many video sources—set-top boxes, streamers, gaming consoles, Blu-ray players, and so on—and not enough HDMI inputs to handle everything.
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https://www.techhive.com/article/3586611/j-tech-digital-4×1-hdmi-switcher-review.html