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If you use your downtime to craft, you use 4 days of Downtime for prep and then spend half the cost. Additional days lower the remaining cost based on your level on the Earned Income table. But these amounts are so small that, unless you need the item immediately, it is worth taking some time to accrue the discount (particularly in comparison to the Earn Income amount at Level-2).
But when I move up to Level 2, does my 2 sp per day discount become 3 sp per day? Or do I continue using the same 2 sp per day discount from when I made the roll?
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Assuming you are actually crafting (and not just using craft to earn income) isn't the level of the task set by the level of the item, so that leveling up mid crafting is irrelevant?
CRAFT
When a character Crafts an item, use the item’s level to determine the DC
getting the higher level task than earn income seems to be why you need to pay the extra 4 days to start crafting instead of earn income.
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The DC wouldn't change, but the leveling up wouldn't be irrelevant. Leveling up mid-crafting would mean that your per day discount on the item is based on a higher row on the Earned Income table.
At level 1, your discount is 2 sp per day. When you become level 2, your discount is now 3 sp per day. So if you began crafting an item at level 1, but it's an expensive item that takes several batches of downtime, you would begin getting bigger discounts as you become more skilled. If you hit level 3, your skill increase might even go into Crafting, which would increase the amount more significantly moving forward. The DC wouldn't change and you wouldn't have to re-roll.
Specifically, my initial thought when I began crafting was, "This thing costs 16 gp. I spend 8 at the end of 4 days, and have 8 more gp to account for. I get 0.2 gp each day ... so I need a total of 40 crafting days to fully cover the other 8 gp." But that was wrong, because once I go up to level 2, I begin getting 0.3 gp per day.
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Rob's saying that the DC isn't based on your level, so the amount you save never changes.
A level 3 character Trained in Crafting, who's making a level 3 item, saves the exact same amount per day as a level 10 character who's a Master in Crafting (although the Master has a higher chance of Crit success).
That doesn't quite make sense to me that a Master Crafter takes just as long as their apprentice to complete an item, but in practice, you would probably be crafting equal-level items as you level up in order to save the greatest amount of money anyways.
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You can pay the remaining portion of the item’s Price in materials to complete the item immediately, or you can spend additional downtime days working on it. For each additional day you spend, reduce the value of the materials you need to expend to complete the item. This amount is determined using Table 4–2: Income Earned (page 236), based on your proficiency rank in Crafting and using your own level instead of a task level. After any of these downtime days, you can complete the item by spending the remaining portion of its Price in materials. If the downtime interrupted, you can return to finish the item later, continuing where you left off. An example of Crafting appears in the sidebar.
The example says Ezren is 5th level and crafting a 4th level item, so his discount is from the 5th level row of the Earned Income table. He doesn't level up during this time, so the amount is constant for each day of the process.
The level 10 character would finish much faster than his level 3 apprentice, using far fewer resources.
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Rob's quote is about the DC of the crafting roll. After the roll, the discount for time worked is based on the character level.
So the Lvl 3 Apprentice and Level 10 Master would both roll against the same DC to create the item. The roll would be easier for the master (and more likely to get a critical success).
Once they have completed 4 days prep and paid the 50%, they begin accumulating the discount based on level and training in Crafting. So each day the Trained apprentice is accumulating a few sp toward the cost, while the master is accumulating a few gp toward the cost.