i think the fundamental idea of the degree is fine enough in the context it came to be, the problem with that is that we use base10 instead of base60 nowadays

so like the original intention was 60₆₀ subdivisions of the circle which also happens to be 60*6 to mirror the fact that all 6 corners of an equal hexagon fall on the edge of a circle so a modern equivalent would be like.... a mil but rounded down to 6000 instead of up to 6400