Epic can’t force a jury trial on anti-trust (Sherman act violations) - only the US government has standing to even file that kind of suit. What they can do is sue for damages due to breach of contract or similar bad faith which is a risky and not hugely convincing position.
You’re quite right that they want a jury trial and to put on a show. But legally this is just a business dispute and arguably one that Epic engineered. I wouldn’t be surprised if the case was simply thrown out for that reason.
> PSKS filed suit, alleging, inter alia, that Leegin violated the antitrust laws by entering into vertical agreements with its retailers to set minimum resale prices. The District Court excluded expert testimony about Leegin’s pricing policy’s procompetitive effects on the ground that Dr. Miles Medical Co. v. John D. Park & Sons Co., 220 U. S. 373, makes it per se illegal under §1 of the Sherman Act for a manufacturer and its distributor to agree on the minimum price the distributor can charge for the manufacturer’s goods. At trial, PSKS alleged that Leegin and its retailers had agreed to fix prices, but Leegin argued that its pricing policy was lawful under §1. The jury found for PSKS.
> Thereafter, respondent filed an action in Federal District Court against petitioners and Yoder. The jury found, inter alia, that petitioners had conspired to violate § 1 of the Sherman Act, but that Yoder was not part of the conspiracy, and awarded treble damages against petitioners.
More cases are listed under "United States Supreme Court cases" in this Wikipedia article:
You’re quite right that they want a jury trial and to put on a show. But legally this is just a business dispute and arguably one that Epic engineered. I wouldn’t be surprised if the case was simply thrown out for that reason.