Sorry for bringing up a REALLY old post.
Last weekend was the first time I played the game. For the most part, I was given the basic understanding of the rules, however I just kind of played along not expecting to win, but to take in the game so I could play better next time.
Out of all the complaints I have (most are nitpicking complaints), this is the biggest one. Thematically, it doesn't make sense that a conspiracy is completed halfway through a story, and that's what happened during our game. The 4 VP for a row or column basically encourages everyone to get those puzzle pieces on the board ASAP. Additionally, during this game, a lucky player was able to start their turn with 3 open spots that would complete a row/column. Just for being next in line, he got 12 VP for doing absolutely nothing (didn't connect anything). Thematically, you could write this off as the character screwing the rest and being part of the conspiracy and covering up any loose ends, but 12 VP for being the lucky person to go next just doesn't make sense to me.
I like the idea of limiting the scoring this way to once per turn. For example, once you finish a row or column, you get your one +4 VP chip. You may place more puzzle pieces on your turn, but you cannot receive any more VPs from completing rows/columns. Additionally, if maybe you are lucky enough to place one piece to finish both a row and a column, you can get two +4 VP chips (I can live with that).