Does undeath cure/heal/restore ability damage & drain?

[cure]

As I understand it, a living creature drained to death of an ability and returned from death as an undead template creature has that ability reset to its previous score.

But what about a living creature in the above scenario that is suffering from ability damage or ability drain from another source, whether to the same ability or to another ability?

In other terms, are some undead 'born' crippled or are they all fit, 'healthy' and full of 'life'?