Why is Lorelai always chasing people down/ following them when they don’t want to be followed

There’s multiple times throughout the show where Lorelai is chasing people or following them when she’s upset. I especially find it bizarre that she follows Dean around first when she’s mad that he kissed Rory and second when he broke up with her. And then she calls him “scum” and says that he’ll never find another girl like Rory. Like he’s 16. And she continues the theme of calling teenagers names with Jess. I don’t care what Jess did, adults are supposed to be more mature and not act like children themselves. And her chasing Luke is the worst especially when he’s just trying to make sure the child under his care is safe. Luke was a great friend to her and Rory and he did not deserve to be told to go to hell. Whether Lorelai was right or wrong in these arguments, chasing people down is very immature.