Firstly, I have no idea of what you're talking about with your maths there, you seem to jump all around the place with no context to the numbers you're using... try as I might, I can't make 2-3 hours a day, for 3-5 days equal 120 hours... at most (5 days of 3 hours each), it's coming out as 15 hours.... hmm.
Next, speaking as someone who changes the weapon focus each month, I'd point out that it's a rotational basis, not just constantly changing weapons. Then, I'd further state that, choosing a weapon, such as sword (one of our most commonly trained weapons), it takes an incredibly long time to "learn" it properly. My guys are under no illusions that, having had some small experience with sword, they then have "learnt" it.
You have a teacher who got their 1st Dan in three months? And you think that, if a martial art isn't learned within a month of diligent practice, it's a bad teacher? Really? Gotta tell you, you'd be lucky to cover all the material we have in our system, let alone really learn it, within 10 years. I'm not touching the Shodan in three month thing...
Honestly, Alex, I just don't think you get what is meant by "learning" a martial art when we say it. You seem to think it's just remembering physical moves... but even then, there's no way. With the timeframe you're looking at, all you'd be able to do, really, is a substandard approximation of them. One of the systems I am involved in has a total of 24 physical techniques for sword (12 long sword, 7 short sword, and 5 two sword)... with one of the guys tonight, I was still correcting the very first technique after a year and a half of his training it. He knows what the technique is, but he hasn't learned it yet. There's a very big distinction.
Nice post as usual Chris, but our points are going to be lost in translation. He either doesnt want to get it, or just cant get it.