...it would encourage users to circumvent the proper helpdesk channels...
I can see the progression from here:
Middle/Upper MGR: *insert name of IT Mgr here* Why are your numbers so low this quarter for tickets?
ITMGR: We are incredibly busy, it's hard to get to everything and everyone because my staff is always so busy in the field.
MUMGR: Well I don't think we can justify that additional headcount for you this year. The numbers here just don't show me that it's needed. Show me you are a busier department and I'll see what I can pull next year.
I think this scenario would play out more as IT departments are pushed more into the uniformed look. Over-taxing the IT staff, limiting their time per user, decreasing the effectiveness to complete and close tickets to a decent level, upper management gets wind of it, sees more numbers that the IT staff isn't performing, no tracked tickets for things that have been done and then it's the good old management lean to shape up or ship out. As it is right now, being a IT staffer and not wearing a uniform I already get crazy amounts of "Oh this will be quick and doesn't need a ticket" things. Identify the IT Staffers and that number goes up.
From a simple business planning perspective it's a horrible idea. Spend money on uniforms, decrease the usefulness of the IT staff, decrease productivity of users who happen to be affected by IT's decrease, spend money hiring and training a new person only to increase the IT Staff and the untracked number of tickets. OR save the company some money and save a lot later.
My sister opened a computer store in Hawaii. She sells C shells down by the seashore.