If I have watched all of S1 of any show, I generally stick with the show until the end.
The only show I didn't keep up with was TVD and Supernatural, but did watch the series finale of TVD. As for Supernatural, it has been on too long. But I do plan to catch up one day (same with TVD). I just need more time!
So to rephrase: I have never really lost interest in any show after one season of loving it. Because after one season, I am invested and love the characters. So no matter the storyline, I have to know what happens to all the characters.
I'm watching Supernatural live every week, but missed some seasons in between [like TVD].