When it comes to cold hardiness in trees it is all about the bark thickness and cambium layer thickness, the thicker, the more cold hardy the tree will be.
Bark serves several purposes, injury protection, draught protection, fire protection and insulation.
The cambium layer is the living, growing part of the tree, it carries the tree's blood up and down from roots to leaves and back again, warmth is the "heart" muscle of the tree, it is what signals the sap flow.
If the cambium layer is not insulated well
enough to prevent Ice crystals from forming, then the tree will go through the same signs of freezing that humans go through, starting with hypothermia moving into frost bite and ending in freezing to death.
Most trees can survive a pretty good range of temperature change from deep winter to hottest summer, this allows us to plant a sub tropical tree in a "border line" temperate zone (usually trees will do ok 2 zones away from their ideal range).
One of the purposes of trees going dormant is to drain the sap from the phylum in the cambium layer, no liquid equals no ice crystal formation thus no freezing to death.
The caveat to this rule is the "pith" trees, such as ficus species, unless the trunks have been able to harden up (thickening of the bark layer) sufficiently they will be subject to freeze damage, these trees go dormant with fully formed leaf buds partly swollen for spring opening.
When the weather gets cold enough to give these buds frost bite, the limb will also become frost bitten and that leads to the death of the limb, the
root system is fairly freeze resistant though and once spring arrives, new growth will begin from the roots.
This is why so many fig trees are multi trunked after a few years of growing in most of the USA and Europe while in the Middle East fig trees tend to be single trunk trees.
Redhawk