WASHINGTON  A Supreme Court argument on Wednesday about the fate of a cross in a remote part of the Mojave National Preserve in southeastern California largely avoided the most interesting question in the case: whether the First Amendment’s ban on government establishment of religion is violated by the display of a cross as a war memorial.

The cross in the desert was erected in the 1930s by the Veterans of Foreign Wars to honor fallen service members. Ten years ago, Frank Buono, a retired employee of the National Park Service, objected to the cross, saying it violated the establishment clause.

In the intervening decade, Congress and the courts have engaged in a legal tug of war. Congress passed measures forbidding removal of the cross, designating it as a national memorial and, finally, ordering the land under the cross to be transferred to private hands. Federal courts in California have insisted that the cross may not be displayed.

At Wednesday’s argument, only Justice Antonin Scalia appeared inclined to reach the establishment clause question.