Sure, but wouldn't it be nice if you could comprehend the law without having a human (which is also really expensive to hire)? Even filing a fairly simple tax return is still a mindfield in some developed countries.
Nobody's stopping you from learning to read legal documents. Regardless, I wouldn't call computer code any less impenetrable than the code of law--it'd just be more up your alley if it was the former.
I believe the advantage of having “law as software” would not necessarily be the increased readability of the documents, but the ability to simulate outcomes / ask questions about the law and get an automated answer instead of having an expert as the bottleneck.