This has happened to me more than a few times. A problem is found in code that I’m responsible for on a customer’s site. There’s always rush and there’s always concern. This is good. While I have concern for my employer’s name and reputation, one of the first things I do is go check if the problem was caused by something that I did. When I tell colleagues that I’m happy it wasn’t my fault, the usual response is “it doesn’t matter. The customer thinks we [the company] suck.”
Well, I only care about the company I work for that much. I truthfully care more about whether or not my code, which I wrote with my own 10 fingers, is responsible for the problem. Not only do I think this is a good thing, I also think this is the better approach. Employees who claim they “see the big picture” may consequently think they can write crappy code and get away with it thinking that, as long as things work, it’s ok.