Imagine being told that your TV had an aspect ration of ":16"

We kind of have that with people talking about a screen or image being "2k" and then expect you to infer what the actual resolution and aspect ratio is from context.

The real absurdity of 2k/4k/etc is that those refer to approximate horizontal pixel counts, when "lines" (vertical pixel count) such as 480/525/1080/etc has been the typical dimension for such a long time. Why the switch? In the 16:9 world, ~2k horizontal is close enough to ~1k (1080) vertical, and ~4k horizontal is close enough to ~2k (2160) vertical, etc. so it can't be that the horizontal numbers round to the nearest k better than the vertical numbers.

I think the difference is that if you write a blog post complaining about the silliness of these labels, you don't get people telling you that no, you don't get it, it's totally fine, these are just aspect ratios.

Yes, and many of us find it silly :-)