I let my daughter's family use my projector for a month and told them don't buy long cables. just plug in your 4K firestick directly into the projector. Worked fine for them. Best option is not bother with switches and long HDMI cable setups, just use another 4K streaming stick, it is better and cheaper. Only reason I got the 50 foot 8K optical cable is I got it on sale for half price. I put the firestick on the input port of the working switch and split the signal off to either TV or projector. For me that was cheaper than buying another 4K firestick
And the smart TV has all the channel apps the Firestick has. I have adapted to the smart TV menu and now don't use the 4k firestick on the TV
Since I though want to hear DD 5.1 to my old Sony receiver, I need the 4 port switch HDMI DD sound extractor otherwise only sound comes from projector and not very good. Projector can connect to bluetooth sound bar, but did not want to buy one.
Sony receiver has two 5.1 inputs, one is optical TOSLINK cable, other coax. It works out, just have to switch DD sound input on Sony receiver.
Smart TV has a DD TOSLINK output, 4K 4 port HDMI switch has a COAX DD output. Sony receiver can select either one. I get great sound now no matter what I am watching. DD 5.1 is still good sound.
You realize only young people have great hearing, if you are in midlife, your ability to hear drops considerably, you will not likely not hear much difference between DD 5.1 and ATMOS, you will never notice.