Starting tools being non-lootable is a good idea, however, they still need to be tradeable. I have loaned a knife to someone for a little bit so that they could do a bit of crafting. I have given someone my starter fishing pole because I was able to make an "anglers rod" and didn't need my starter one any longer. Starter tools be tradeable is the base point to begin trading with others.

24h reroll is a bad idea, like many have already stated, I reroll a few times to find that set of tool recipes that I know work well and that others will need early on in the game. I don't think that this practice goes against the lore or heart of the game.