Pure speculation but......
In Beta 3, when I put on the best gear I had and saved it to the thingy that enables you to click change gear outfits (cant remember its name), it would automatically name the set.
When naming the set it would use a naming convention of <job> <level>.
For a level 1 conjurer, it would default the name to conj 1.
When I put on my high level characters with my best gear (including my crafting jobs, with well materia'd gear and AF Crafting Hat), it would save the job as GSM 60 (for example). That is, the effective level of the gear, would take you up beyond level 50 even though the character is only level 50. Fully geared in AF armour, my other jobs also showed as higher than 50.
Perhaps that is what is meant by level 62 goldsmith required. Just that your effective level needs to be 62, and you can get there with awesome gear to make the item.
Well, there's one way to verify that at least.
Once Phase 4 kicks in, If you see the recipes in your recipe book and they are not greyed out, then that's our answer.