Sure, curiosity may have done in a few cats (about which no one really complains), but I've never seen curiosity kill a company, nonprofit, community group, or start up. In fact, the opposite is true: when an organization stops being curious, trying new things, or asking questions, their demise is just around the bend.
If you find yourself in a spot of un-curiosity, get to igniting your curiosity. This post from Lifehack has several great suggestions, namely:
Be like a sponge – soak up new information from a variety of different places (at work, home, from strangers on the street, from magazines, books, movies, your phone – anywhere!)
How will you be curious today?