Does a damage boost effect increase undead ability damage?

[ZomB]

Desecrate: "Every undead creature entering a desecrated area gains a +1 profane bonus on all attack rolls, damage rolls, and saving throws."

Does this damage bonus apply to ability damage or only to hit point damage?

For example if a Shadow enters the area of a Desecrate does it now do 1d6+1 strength damage on a hit?

[Marthian]

As far as I know, no.