What was that in response to??
The answer lies in quantifying the project impact, not in calling it low/medium/high (which is a subjective, relative term). Also, as business grows (or shrinks), the measurement of impact should be weighted as well. For example, a project that generates $1M/yr in revenue is a big deal when you're making $2M/yr, but not as much when you're making $20M/yr.
In the end, limited resources need to be focused on the area where it makes the most impact rather than trying to solve everyone's problems. That is exactly what IT management's job is.
The other answer is that no group/team/company does this really well, it comes down to individual manager's or IC's style and how you dismiss the trivial requests.
First things first. Is "company data" - email, contacts, files - accessible from your phone? If so, they have a vested interest in making sure that data is not compromised when your phone is lost or stolen. As a result, PIN/password requirements, encryption, antivirus, and remote wipe capabilities are generally required. In some cases where devices have a tunnel to the corporate network (Blackberry), they will possibly want to control what apps you install to prevent malicious ones from accessing the corporate network via your BES server.
Most laypeople don't have any clue about protecting company data on a regular basis, they just want their data instantly and aren't concerned with what happens in a worst-case scenario. "Oops, it got stolen. Guess I need to get the latest model now!"
1) Steal this guy's phone.
2) Gain competitive intelligence
While entry-level programmers may make a slightly higher salary than a similar systems administrator, over time there's a lot more upward opportunity for the sysadmin. Systems Engineering and Systems Architecture - being the guy that ties the network, the server, and the apps together, is a very in-demand skill and is something programmers will never have the opportunity to become. Programmers only make the big bucks when they have other specialized knowledge that's specific to the apps they are developing, i.e. finance, GIS, physics, etc..
I'm personally glad I made the decision 12 years ago to move into systems after earning my Comp. Sci. degree. I went from web app development for an ISP to Linux/Solaris/HPUX sysadmin, to Systems Architecure, to Info Security.
Is this a troll? Self-righteous prick? You be the judge.
If you're not passing someone (and you're not, if you're going 64) then don't drive in the leftmost lane. Period.