Everyone is busy. There are not enough hours in the day to get our own job done so we naturally focus there first. After all, that is what we are paid to do - it's just survival. We "own" the mechanical cog in the watch. It can't fail. It has to be perfect. After all, we have a team devoted to that cog. We have business cards and linkedIn profiles. Yet I wonder, do people buy the cog or the watch?
Of course, striving to do the best work in your area is not a problem. In fact, it's necessary, but as a product leader or designer, I suggest that this winnowed focus carries a hidden danger. Customers don't see our internal divisions - Engineering, Design, Sales, Support, Marketing, etc. They see one company. The see a provider of a service.
For this reason, product people (ie. experience designers) need to achieve visibility to the other links in the chain. They need to not only understand how the formal product works, but also how it is bought, configured, used, and potentially fired. At each major point in the process, knowing where you sit on the "delight" curve (above) will serve you well. Of course, the satisfaction level of your customer is always shifting as their expectations migrate, but the most important thing is to be aware of the overall experience - to think beyond the product's edges.
This broader perspective will help you make decisions that optimize for the customer as opposed to internal departments. If you've ever said "yeah, but they only have to do this once" or "we can solve this through a services engagement", you are pushing the pain - sliding your peas onto your siblings plate while they aren't looking. The peas are still there, and someone has to eat them.
Walt Disney understood this. He started from the customer point of view and endeavored to make a magical experience - even waiting in line was thought through, and more importantly, invested in. For your product, what is the equivalent of waiting in line? How would you rate that experience?
For contrast, consider your last trip to any other amusement park - hard plain concrete with rows of sagging chains. You notice every moment of the wait under sweltering heat. Somewhere the numbers were ran and it was decided that it was better to invest in circus games, parking spaces, security or funnel cakes.
You'd have to be crazy to spend so much money on a part of the ride that isn't the ride, or you'd have to be Walt.