The mathematician still has to type \cbrt + tab to type the glyph so they have to know the name of the function. Not only that, they have to know the name of the function from reading the Unicode glyph or be constantly pasting characters into the REPL. I don't get how that's more efficient in any way.
We are in the age of Unicode. The LaTeX entry methods are options, not required. I rarely use them, and don’t paste in characters. I hit a modifier key. Typing a Greek letter is no more inconvenient than typing an uppercase letter.
