According to this article in Newsweek, people are calling for Amy Coney Barrett to recuse herself from the 303 Creative LLC v. Elenis case because she has strong ties to anti-gay Christian groups. While these people are probably right that she is biased, this still seems a little odd to me. Barret does not have ties to 303 Creative LLC itself, or to anyone directly involved in the case. She just has ties to people with strong opinions on the issue, which seems like something that would apply to many judges in many cases.
Is there precedent for Supreme Court justices recusing themselves from cases when they have strong ties to groups with strong opinions on the case?