The bar for accreditation is extremely low - investor signs a piece of paper making a claim about their net income or personal wealth, but no actual validation must occur.
SEC wants to strengthen the validation requirements, which would increase compliance costs a lot, and so generally business world is against this.
The more striking limitations are around solicitation - how you actually find your investors. "General solicitation" is vaguely defined (here's looking at you, angel.co). But basically, it's like the first rule of Fight Club, no one ever talks about it, yet somehow more people keep showing up!