I like exploring the crafting in-game, but I realize lots of people find it stupid. I, however, intend to have all skills across two characters.
The problem I ran into was styles. I completed the basic styles after I finally found the Imperial book, but the it occurred to me that things like Daedric would suck if I had to find multiples.
So I changed strategies, and took woodworking/smithing/tailor on the character with all the styles, and alchemy/chanting/provisioning on the other. That gives me a single character to outfit for styles, as there are no styles on the second character's crafting skills.
That cost me about 4 wasted skill points before I figured it out. Hoping this post saves someone some time who might be doing the same.