Doing nothing is akin to saying my time is more valuable than yours, you silly plebian. It's the sort of attitude that reinforces the unfortunate stereotype that IT people are arrogant and view their expertise and role as more important than others'.
I found great success providing IT support by always responding immediately when I'm available, and establishing focus times where others know I may not respond right away. An attitude of service and humility can go a long way in winning the respect and trust of your colleagues and supervisors.