We call dark orange brown. Sure dark red could be called burgundy but it's not a word used as much as brown. So we use the word brown as much as the words 'dark red'.
And the difference between "pink" and "brick red" is that both are just desaturated reds at different levels of lightness.
That's why this video is good educational material: it covers the contextual aspect of color that a lot of folks will have never even thought of. After all, pink is just red that you added white to, why not just add black to orange to get brown ("because that works for paint, but is literally impossible when your medium is light").
Wasn't that about magenta/fuchsia? ( #FF00FF )
A: A stick!
...unless you've got a universal web dark-mode extension. Then they're orange swatches. The swatches are visually brown by default, because the page they're shown on is white by default.
The video said "brown is orange with context", but I'd say it's more like "brown is orange with contrast."
Brown is, in general, a muted orange. Take the red and yellow, add a hint of green (or purple, honestly) - and you have browns.
We've affixed a lot of specific names to colours around orange and brown, but they're basically variations of saturation and lightness on a certain range of hues (between yellow and red). The distinction between brown and orange is mostly subjective.
Which is what I like about this video. It gives a good sense of how much of the difference between two 'colours' is just naming and perception of a hue.