Flatscreen between speakers

I agree that flat wood would not be any better.  But if you use (for say a 65" screen) either 4 standard 24x48x2 inch acoustic absorbation panels or similar size dispersion panels (like yours) just large enough to cover the opening of the "box" built around the TV, it should work.  Weight shouldn't be much of an issue to overcome, as long as you can anchor the bracket to the studs.  Some of those barn door hardware kits are designed to support actual full size doors.  You could even put a motor on it and open/close it remotely.  (lol)

A couple of examples of the barn door kits.... the second one with the accordian doors might be a better idea.

https://www.amazon.com/WINSOON-Double-Sliding-Hardware-Kit%EF%BC%8C5-18FT/dp/B06XSFKDFC/ref=sr_1_29?crid=VM5CFO36J7O&dib=eyJ2IjoiMSJ9.Of5SyXiBxfG-6K55QXqge49eEX_87IQO5c5f505Z2gTEXdF8sPfbzncQ9Gs9EoUHx7_yld5HdluWdywzWU1PTV2xxf7u3zkOYpwm0hH8rYF9dI6uh0YiPua6puRYbYRxi-Fc9PdQ8zfaN6FI22H58tEJJOXg_O6IHX7oGct7GnTC18JLLlf_naB6dSIrQyom0h20xRZjJyv6voGU4lDRXZOvINvO71uQKzPrZbA_4b3PIdHwhW29CmDV4B1N7awfcyfYrCkfTxmWoaGUwrnsROZOFCs8DJ-npmEKxbyFrSw.RcUuJpixi90XQ6jUGftQfl575E0PBIF63UIxH5Y31aQ&dib_tag=se&keywords=barn%2Bdoor%2Bshutter%2Bhardware%2Bkit&qid=1748065624&sprefix=barn%2Bdoor%2Bshutter%2Bhardware%2Bkit%2Caps%2C142&sr=8-29&th=1

https://www.amazon.com/Hardware-Smoothly-Assembly-Bi-Folding-Included/dp/B0BVDNWTXC/ref=sr_1_8?crid=VM5CFO36J7O&dib=eyJ2IjoiMSJ9.hRyAjo1k1ZMsb0KOgTdh6uNZl2uNgV2J1rJ5wtMte7DYUt3O_8f9t1kD90loj2aHPCIGXNuK30ZgUDY39XZt4ZGdYBEvbbN5u0pBtddueIH6YQRpUe4DolTavvJGYpTQRPfxbDmYBwH0jqArYMrfFfKsthJN1Yf8kDcqbTGazf2xxOTpLJKzXeaDuxGbs6Ywv0QpwgS0COW0aLjhIRpENZOU5FhbLC2lrAb_R5Du7QdIK3Lrr0QjxgntPcLq85Ukexbr0IWnPBUV1SALfGDuamf3nN73cvNkCtRCSiaC9lE.dn7ZdaAmeV37rKIzNidAhWt5_2Y-p9SPIo8vM0PUCf8&dib_tag=se&keywords=barn%2Bdoor%2Bshutter%2Bhardware%2Bkit&qid=1748066538&sprefix=barn%2Bdoor%2Bshutter%2Bhardware%2Bkit%2Caps%2C142&sr=8-8&th=1

The further back the screen is from radiating surface of the loudspeakers the better.  Using a rug or blankets is probably better than nothing, but if you are going to cover the screen you should use a real acoustic product that has uniform or smooth absorption characteristics.

https://www.audiogon.com/systems/10635#&gid=1&pid=3

Roll-away panels, in TN I put wheels on them.

In KY, I used barn door rods and rollers to cover the windows:

https://www.audiogon.com/systems/8615#&gid=1&pid=1

I agree with @onhwy61.  My problem with the barn door hardware is that it would interfere with my existing panels around the flatscreen. It might work fine for @bugredmachine ​​​​@jeffbij. I am looking for something like that I can take down when not in use thus light because I don’t want the weight to be an issue. I envy you guys who have dedicated rooms. 
I tried posting a picture but it didn’t show . Sorry.

How about some 1 inch thick panels and hang them right on the TV itself? Even foam will help some in a pinch. One inch OC 703 would be great but not sure you can get one inch.

Some vinyl or rubber covered hooks and you're in business. Heavy cardboard backer or even Luan plywood is light and more durable as a backer.

We can solve this.