Aside from the control question, Iwould challenge you in terms of thinking about centralizing video playback and the using matrix switches for distribution.
Most content today can be adequately played back by an Nvidia Shield or a Apple 4K TV. We use Plex with a cablecard feed as a DVR, and all our DvD's and Blurays are ripped and accessible in every room. Plus I can run Disney+, Netflix, YouTube and HBO max with full native resolution feeding the TV in each room locally.
For those rooms where I drive a receiver, I use Vertex2 HDMI switches and send the audio stream back to a central rack with the receivers in it. Moving HD audio over Cat6 is easy, and much cheaper than trying to deal with ever increasing HDMI bitrates 18, 48 and 54 Gbps, and more coming in the future). You feed the STB's with gigabit ethernet, and can use a local RF control, and the Vertex switches can handle local 4K content sources like game consoles easily.
The future is all digital streaming, not satellite STB's. But even there, both AT&T and Dish have clients that run on open STBs like the Nvidia Shield or Apple TV anyway.