Create a SOJ with the cube ???

Did any one have try to use this formula in the cubes: 6 perfect skulls + another ring ??
Exemple naglering ilvl = 7 * .4 = 2.8 and my barbarian is level 70 * .4 = 28, total = 30.7 did you think it can have good chance to cube a Stone of Jordan ?|||The formula is:
6 Perfect Skulls + 1 Rare Item = 1 Random Low Quality Rare Item of the same type
It will re-rolls the stats of a Rare item (yellow color), not a Unique item (gold color).|||I understand it is possible to add one socket to a unique item with 3 perfect skull & a stone of jordan.
A unique item is not a rare also in that case ? (6 skull + rare)
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Q u o t e:
A unique item is not a rare also in that case ? (6 skull + rare)

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A Unique item is never a Rare item.
In any case.