The Hat List
Location
Required Items
Rewards
What the allowance actually buys
One allowance here buys 290,630 EXP, which places it 3rd of the 3 Lv 58 Weaver tradecraft leves that record EXP. The best of them, He Wears the Pants, returns 593,380 EXP for the same allowance, 104% more.
Across that rung the return runs from 290,630 EXP to 593,380 EXP per allowance — 3 distinct figures spanning 104%, so the wrong pick leaves 302,750 EXP of the allowance unspent.
On whether to wait: the best Lv 60 Weaver tradecraft leve returns 703,720 EXP per allowance, 19% more than the best on this rung, while the Lv 56 rung behind tops out at 438,880 EXP.
At Lv 58 this data holds 54 leves paying EXP across 3 categories: the 24 Tradecraft ones average 443,090 EXP per allowance, the 3 Fieldcraft ones 1,079,567 EXP and the 27 Grand Company ones 228,371 EXP, which puts this leve 34% below its own category's average.
Chimerical Felt Cap of Scouting ×1 is a Lv 58 Weaver recipe, 3 steps deep through 6 intermediates, costing 40 units of raw material and 42 crystals.
Handing that in returns 7,266 EXP and 10 gil for every unit of raw material the order swallows, and the tree needs Alchemist, Blacksmith, Goldsmith and Weaver.
The record carries a repeats value of 2. This site reads that as 2 further turn-ins on the same leve — an assumption, because the source data defines no meaning for the field — which would put the ceiling at 871,890 EXP and 1,218 gil for the 1 allowance it costs, or 871,890 EXP per allowance.