It is interesting that you save the "The 5 people were..." for last, because I always do those first. I also try to do all or most of my solving along the top, but those are quick to put the Xs in place, which comes in very handy once you solve one of the dots.
I like seeing how other people approach things.
Another tip I've discovered for those clues - say you have Danielle, Cola and Newsweek listed as three of the five. As you go, you see that both Danielle and Cola are limited to either the second or third timeslot. That means that Newsweek can be eliminated in the second and third timeslot, which often ends up solving Newsweek at that point. Once I uncovered this little nugget, my solve times on those type of puzzles got much faster.