In lawsuits over casino-style apps brought separately against Google, Apple and Facebook, plaintiffs lawyers took a gamble: They wanted to consolidate the dozens of cases and appoint themselves as the leadership team.

All three tech companies have agreed to parts of the plan but also objected to such a “Frankenstein proceeding.” In filings on Monday, the defendants raised concerns about sharing confidential information with their competitors, intermixing different legal theories and creating a bloated leadership team that could result in substantial attorney fees.