I'm with indie... I'd say 16 is totally the way to go. Here's a couple reasons that come to mind:
Lighting for both Film and Video is important, but people tend to "get by" without putting as much thought into lighting for digital, whereas with film it's absolutely necessary at least 90% of the time to light the shot, if not just bounce or diffuse some of the existing light.
Editing film is more challenging (and therefore more satisfying when finished) than digital editing, and it also keeps you limited (usually) to the kinds of things you can do. Learning in this manner will help curb some of the potential desires to want to use all those "hollywood transitions" that come with almost every Non-Linear editing package, most of which you'd never see in a 'hollywood' film.
Film tends to pick up more subtle details than digital (in almost every case) ... not only is this a good thing because it is nicer to watch, but from a learning standpoint it will get you to focus on the details early on, rather than later in your filmmaking career.
Finally, film is basically the origin, the root of the craft, afterall we don't necessarily want to call ourselves DVmakers, personally I think filmmaker sounds much nicer. But like any industry, it's good to know the history of the craft before moving into the present/future.
When I went to school for radio and TV broadcasting we spent 3 months learning how to breathe and talk. I've been doing that since I was a year or so old, but it was still a necessary step of the process. Could I have been a radio broadcaster without this Breathing 101 type stuff? Sure. Would I have been as good? Doubt it.
I've been a Nightclub/mobile DJ for 9 years, I'm probably one of the most capable 'beat-mixers' in the twin cities (so I've been told numerous times by people who very well might know..) If I were teaching someone to beatmix (which I hate doing, because for some reason nobody else seems to 'get it') I would first teach them how to count. Then teach them how to find a beat. etc.. all very basic rudimentary music theory that is a good foundation for the ultimate skill they seek.
There's plenty of other reasons I'm sure, but that's just what popped in my head right now. Ultimately the choice is your own, but I would think the best advice anyone can give you is that if you are truely interested in a subject (filmmaking or otherwise) you should learn all you can about it. Even if the majority of that is "old information" or "old technology" it helps to build a more sturdy foundation for the things you may be more interested to learn in the future. If the foundation stuff is things you want to learn anyway, well that's just all the better then!
Good luck to you.