Your assessment of worker's compensation would seem to be a radical departure from the law as we know it in most states. I would be interested in seeing the text of the proposed legislation of which you speak.

Although the cost of worker's compensation insurance is becoming a major consideration for employers ... in most states worker's compensation is designed to benefit both the employer and the employee. It provides the employee with health care for work related injuries, rehabilitation and partial wage compensation. It also limits the employer's liability from astronomical damages in personal injury suits. In Connecticut an employer's failure to provide worker's compensation insurance allows the employee to sue the employer for injuries, and it may also lead to a State imposed suspension of the employer's ability to transact business until it obtains the required insurance coverage.

If as you say New York is going to analogize independent contractors to employees...it would seem unlikely that it would be an expense that the employer could pass to the abstractor any more than one that could be passed to the employee. Rather it would seem to have only widened the scope of those eligible for insurance coverage. However, a review of the proposed change in the law would help for clarification. Please post the text of it.