There should be no difference. I admit there is a cosmetic difference in the second photo. P2 will interface with the controller for the settings you have chosen like moving from one step to another based upon internal temp. P3 is strictly reading the meat temp. One other thing: probes are sensitive to water so go easy on the cleaning.
edit: I just checked my probes and they are slightly different where the wire goes into the connector, just like yours. Chalk it up to manufacturing suppliers.