The employer buys labor. The worker sells labor power. Therefore, it is more correct to call the employer a labor buyer and the employee a labor seller.
The left wants the seller of labor (employee) to be allowed to keep a larger part of what he produces. The labor buyer will receive a smaller share.
The right wants the labor buyer to be able to keep more of the labor seller's work.
The labor buyer also wants the labor seller to produce as much as possible in the shortest possible time with minimal safety and working environment conditions. Therefore, the labor buyer desires a deregulated labor law, so that it should be easy to replace the labor seller who is unable to live up to the labor seller's demand. How the exchanged makes a living is less important to the labor buyer.