Some batters do, yes. That's less to do with stealing signs though, and more to do with the strategic effect the runner has on the infield (and centerfield, ac

Some batters do, yes. That's less to do with stealing signs though, and more to do with the strategic effect the runner has on the infield (and centerfield, actually). If the bases are empty, the whole defense can focus on getting the batter out. If there's a man on second, especially if there's less than two outs, it's much more important to keep the man on second from scoring.