It is always difficult to put much stock in these kinds of things. It is not surprising that Alex Rodriguez is not a popular player among players. For one, he makes more money than any of them. Then there was the Dallas Braden incident and the time an A-Rod shout caused a third baseman to drop a ball. Those things are not considered cool it seems. There is the PED thing. Occasionally, you will see a story that he is unpopular in the Yankees’ clubhouse. But things seem fine on the field, so who knows.
Nick Swisher finishing third is a surprise and it is not a surprise. Swisher plays with a lot of enthusiasm and fun. That makes him a darling of the Yankee fans and is not appreciated by opposing teams. Some of his celebrations for recent homers were considered inappropriate. His teammates seemed bemused with him. Any time you express joy in baseball at something you did well, it can be misinterpreted as showing the other team up. That, of course, is nonsense, but so are a lot of the unwritten rules that baseball seems to carry around.
As for Derek Jeter, the poll confirms that he is respected by players on other teams far more than he is in some baseball analytic circles. The meme of playing the game right nauseates a lot of people. But it seems to hold true for Jeter, at least in the eyes of his peers.