Thing is I work in a company that's an IT service provider to the NHS. We have one major area which is the supply of clinical software and the infrastructure to run it on. Within that arm there's a major split between the hosted side (where their system in run from our data centre) and the side where the GP runs the software from an on site server (usually a HP ML350)
The hosted side of the business is fully ISO20000 accredited. The LAN based side isn't and doesn't implement ITIL much at all. The hosted side of the business runs much smother because of it. ITIL is a framework, it's not a set of rules that you must follow, it's designed so that you can pick and choose what bits suit you and implement them as you see fit. If your service desk managers are obsessing unnecessarily about stats that's their fault not ITIL's.
I think it's great when it's implemented properly. At the end of the day a first time fix rate is important, because that's the sole aim of the service desk, to get simple problems and service requests resolved quickly and cheaply. But if the management take that to be the only thing of importance you've got a problem. ITIL doesn't state that
Tempted to take a guess at the company you work for, seeing as I work on the NHS IT side and we do love our ML350s