This is sort of the point of arbitration.
In practice, the company still has a big advantage in arbitration.
https://www.gsb.stanford.edu/insights/why-binding-arbitratio...
> The problem is that companies generally know more than customers about an arbitrator’s record and thus are likely to strike out arbitrators who are more inclined to rule in favor of consumers. On average, each securities firm in the study had been involved in 81 other arbitrations. In non-securities disputes, such as those with cellular carriers, the average company had been in 133 hearings. By contrast, most consumers have never been involved in a previous arbitration and tend to strike arbitrators randomly. As a result, the firms’ informational advantage leads to systematically biased outcomes.