At this moment, I'm editing some video for work that we hired an (awful) camera / sound guy for from our University's library. His camera work wasn't bad, considering all he did was aim the camera and hit record, but his sound was awful (He ran 2 wireless lavs and an on-camera shotgun into a 8-channel Mackie Mixer that he ran back into the camera; he rode the levels passively, adjusted the lavs mid-sentence on the wireless receiver, and kept things at the red the whole time.)
Luckily, I was also recording with some overhead condensers (think the type churches have for their choirs) and my h4n back by the camera. Between his cameras, my security-style cameras, and a Flip I set up for safety sake, I'll have something usable and that's all that matters to me right now. However, when his levels weren't peaking, his lavs were the best audio source to use because my sim lab is incredibly live.
Depending on the quality of my editing, there's a chance that my simulation lab will start to offer an in-house video service -- not pro quality, but far better than the crap that's currently available (see the awful camera guy above).
Because of the position of my ceiling cameras, which my director will insist we use in addition to maybe two portable cameras, a boom mic is out of the question, though I know it's the best bang for my buck.
I'm already going to suggest a Zoom R16 as the mobile recording unit for all sound, since I can track everything individually, and I can run the overhead mics into that. What I'm not sure on is lav mics -- I've never used them. We're on a budget -- in fact, we had to reduce our budget from last year -- and wireless is preferable but not necessary.