But that is not all of it. Most monitors approximate (some better than others) sRGB, while TVs approximate (again some better than others) Rec. 709. Rec. 709 and sRGB share color primaries, so they have the same gamut, but Rec. 709 uses a different transfer function. If you use the (profiled) monitor with a computer that does color management, and use a color-managed video player, all is well, but if you use the monitor as a "TV", without a computers, there's no profiling and no color management, so the broadcast and movies will not appear colorimetrically correct.

But wait, now we have Rec. 2020. I don't know if Rec. 2020 TVs are common now, but they will become common soon enough. Computer monitors are very different than Rec. 2020, even wide gamut ones. You MUST use color management to display Rec. 2020 on a computer monitor. Without a computer involved, computer monitors can't display Rec. 2020 properly.

But that is not the final story still. TVs can generally do both 23.976 fps, and 24 fps. Computer monitors very rarely can do this, generally reserved for expensive models designed for professional media creation.

So even if you pay the huge "dumb monitor tax", you still can't get the same result.