It will function normally at the "looks like" resolution you choose. So yes, a 4K video will work fine.
What 28" 4K monitor are you talking about?
32" 4K monitor (138 ppi) is roughly "Retina" at 25" or greater.
28" 4K monitor (157 ppi) is roughly "Retina" at 22" or greater.
27" 4K monitor (163 ppi) is roughly "Retina" at 21" or greater.
24" 4K monitor (184 ppi) is roughly "Retina" at 19" or greater.
27" 5K monitor (218 ppi) is roughly "Retina" at 16" or greater.
Why is this important? Because what is usually accepted for ergonomic seating distance is greater than 20", although some may sit slightly closer. If you check the numbers above, you'll see that the best is Apple's 27" 5K monitor, but in the context of ergonomic seating distance, 24" 4K is great too, and 27" 4K is pretty decent too. I eventually settled on a 28.2" 4K+ monitor (at 3840x2560 which is higher than 4K vertically - details in my sig), but that works out to the exactly same ppi as 27" 4K (3840x2160).
In contrast, 32" 4K is not very good in this regard. I personally sit at around 20-25" and I found the 32" 4K sub-par for text quality. (I bought a 32" 4K Asus ProArt monitor but was very unimpressed, both for text quality and because of light bleed at the edges.)
? M1 and late model Intel Mac minis will output 4Kp60 just fine over HDMI. There are some monitor incompatibilities with certain older monitor firmwares for stuff like wake from sleep, etc. though with M1.
What do you have plugged into your two 2 USB-C ports? I use a
Plugable Thunderbolt 4 / USB4 hub with my M1, and my USB-C monitor is connected through that.
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