> Under socialism, you and the worker negotiate the wage. Typically, the end resut is them getting to share in the profits and the ownership of their labor.
This is demonstrably false.
1. In a free market (and in the status quo), the employer and employee also negotiate the wage.
2. In the status quo, the end result is typically at-will employment with a mutually agreed upon hourly wage or annual salary. Many if not most people prefer to be wage-earners rather than entrepreneurs, and not without good reason.
Let's leave aside for a moment high-paying, highly-skilled jobs and simple agreements between two people, which more often than not involve literal negotiations before a wage/salary is agreed to. Just because a prospective Wendy's drive-thru worker can't set any wage they think is "fair" does not mean a negotiation hasn't occurred. A worker accepts a $10 wage if they don't expect to produce more than $10 with the skills and resources at their disposal (while accounting for uncertainty and time preference). In other words, they accept a wage if - all else being equal - they don't think they can do better anywhere else.
If the employer profits $20 more after hiring an employee than they did before, that doesn't mean the employee's labor is worth $20. If the employee's labor was worth $20, they could do it without the employer and pocket the whole thing. Conversely, if the employee required $20 as a condition of employment, they would not be hired, as it would provide no benefit to the employer.
In a free market, workers are never compelled to work for a wage that they don't agree to. The alternative to accepting any given wage is not abject poverty and starvation, it is self-employment. If the prospects of self-employment are less attractive than the wage/salary being offered, the employee freely and rationally accepts the offer of employment. As long as people can own property and freely contract with each other, this outcome will never be prevented.