The primary assembly is a very harsh environment, especially if you like to ride hard.
Primary fluids/oils have certain modifiers molecules that are resistant to "shearing" for example differentials in truck use thick oils with high phosphorus and/or zinc modifiers that resist shearing/wearing. ATF III or VI or what ever ATF you decide on doesnt have these modifiers, but differential also has modifiers that are either too slippery or corrosive for wet clutch components....
...so with those extremes addressed id simply stay with a fluid/oil developed for and states on the container safe for wet cluches or primaries.