Anti-ESG forces have opened a new line of attack in their quest to get corporate America to deemphasize priorities such as diversity and support for LGBTQ communities by suing retailing giant Target, one of the highest-profile advocates of such causes.

While shareholder lawsuits over corporate ESG practices have become common in recent years, they’ve often focused in discrepancies between what a company has said on such topics as boosting minority hiring or reducing greenhouse-gas emissions and reality.