Can we ever get a third stat on Uber Items with only 2 stats...

Some items like the boots, rings, etc…  Only have one stat when they are Legendary.

You upgrade them to uber and they gain a stat so they have two. 

But they still have the space for a third stat. 

If we upgrade three more times (like what it took to get to uber).  Will we get a third stat?

They wrote that upgrading a uber 3 times will not bring it to a higher item “rarity” so probably not