The new Allagan set of items needs to have a small customization option.

[NeoAmon]

I'm pretty sure Yoshi only stated that Allagan WEAPONS will be a higher ilvl than the other 2.2 weapons. It literally makes no sense for the Yoshitomes armour to be of a lower ilvl than Allagan armour.

Nay he stated the entire set will be at a higher Ilvl. The reason was to motivate players to clear the second coil.

[Mephistopheles]

y; at 2.2 the highest weapon level is 115
y; armor gear is 110
y; 90-95-100-110-115 is the order
f; will you be able to upgrade the relics
y; we have the zodiac weapon
y; in-game it’s called zodiac weapon story, this is going to start in 2.2
y; it won’t end at 2.2
y; we already have 2.25 patch and we’re going to update more in here
y; and then another upgrade in 2.3
y; so please think of this as something that will be upgraded over time
y; it’s not something easy to do
y; right now in XIV end content, for bahamut coil, you defeat a strong monster you obtain a specific item, and another method is to obtain tomestones to get the weapon

Taken from Reinhearts translation. He doesn't mention Coil armour being higher, only weapons were mentioned in regards to a higher ilvl.