The Fed has three camps: hawks (like Logan) who may want to hike if inflation/jobs stay strong; those worried higher energy prices will slow consumption and create stagflation; and a middle group. Warsh is neutral/middle-of-the-road. He will likely try to move hawks toward neutrality. Without political pressure, he'd probably advocate for holding steady until clarity on inflation and jobs emerges.
The job market is concentrated in only two sectors, not broadly strong. The ECB raised rates but has a single mandate; the Fed has a dual mandate (jobs + inflation), so it can afford to wait.