Mr. Obama offered this trip as Exhibit A for the virtues of an incremental approach: He nudged along trade negotiations with Japan, consoled a bereaved ally in South Korea, cultivated ties with a once-hostile Malaysia and signed a modest defense agreement with the Philippines.

He drew a sharp contrast between the international coalition the United States had marshaled to pressure President Vladimir V. Putin and the proposals of some Republicans to funnel weapons to Ukrainian soldiers, which he mocked as ineffective.

“Why is it that everybody is so eager to use military force,” Mr. Obama said, “after we’ve just gone through a decade of war at enormous cost to our troops and to our budget. And what is it exactly that these critics think would have been accomplished?”

The president did not name his critics, except to refer to them as foreign policy commentators “in an office in Washington or New York.” He also referred to the Sunday morning talk shows, where Senator John McCain of Arizona, a fierce Obama critic, is a ubiquitous guest.