℉ and Celsius ℃ come fully assembled as a single character One of my biggest annoyances is seeing the degree glyph

The Unicode Consortium disagrees with you. ℉ and ℃ are included for round-trip convertibility, they are compatibility characters. That doesn’t mean you’re not supposed to use them, but the decomposition of ℉ is ° + F, which does mean they are equivalent and that it is correct to use ° for both angles and temperatures.

It’s like how hyphen-minus has two very different uses but is one character.