Uh...
Moving loremaster from one category to another doesn't change the number of points you need to spend in it.
Oh oops almost forget that you can use skills from other category's no matter the character you are. Yes it will might make sense to but lore master into wizard but enchanting might not be a skill but just a development to use the "Enchanting table" if they are added to the game. The wizard already has brewing and making spells, we don't want to go over board with the Wizard with crafting. Yeah as you said it will also work to put them in each category instead of a "Trades" category.