Responding to you and Valiant's posts about the time. I have wondered about the time stamp as well. Was it accurate. But APD posted that photo and said that was the last time she was seen alive (at that time - we don't know if they have subsequently found other vid/photo evidence of her) and they have never come back and said the time stamp was wrong. Which, I feel they would do. So I am inclined (though not 100% certain) to believe the 12:09 time is correct.
As for KJ's activities. I do think EC has said she isn't certain about the 11:30 time, but I am guessing it is in the ball park. But yes, there is a lag between then and 12:09 in the Rainbow crosswalk. but in that photo, she and Bowie are crossing south to north. Henry's is on the north side. So they are not coming straight from Henry's or they would have already been on the north side of the street. So she and Bowie went somewhere after stopping to see Emma. Maybe just wondering. But then headed for the park at 12:09.
Now, that does bring up a question for me as to "why?" They had already been out on a long walk. So I also thought maybe KJ was just killing time to wait for Emma to get off so they could walk back together. But that seems odd too because she would have arrived at CA gate at 12:25-12:30, the time Emma would have been getting off work. Odd.