In an appearance on the Mission Log podcast, Gene Roddenberry manservant and fired TNG staff member Richard Arnold claimed that the violence was an intentional thing by Gene to show the studio that he was in charge. Supposedly, the original version of the scene was less graphic, and when the executives balked at it Gene deliberately upped the gore just to remind them that he was in charge of the show. Arnold said this like it was a great thing, an instance of the heroic Gene Roddenberry fending off interference by clueless empty-suit executives. This is not surprising, since Richard Arnold is a ghoul.
What may be surprising is that Roddenberry would be behind this, especially since he famously objected to a similar, less-gory scene in Star Trek II where Kirk phasers the Ceti Eel that crawls out of Chekov's ear. While it's possible that Richard Arnold simply misremembered/embellished/lied about the incident, I tend to believe his story. If you examine Gene Roddenberry's statements and pattern of behavior from the late 70s onward, it becomes obvious that the most important part of his much-vaunted "vision" for Star Trek was that he be in absolute control of it. Even his objections to things in the Bennett/Meyer films are best understood in that context. So it's not at all shocking that he'd compromise his vision of a peaceful 24th century to engage in a dick-measuring contest.