At 9th level, an Artillerist artificer gains the ability to detonate the cannon created by the 3rd-level Eldritch Cannon ability:
Doing so destroys the cannon and forces each creature within 20 feet of it to make a Dexterity saving throw against your spell save DC, taking 3d8 force damage on a failed save or half as much damage on a successful one.
The all-purpose tool from Tasha's Cauldron of Everything grants a bonus, increasing with rarity, "to the spell attack rolls and the saving throw DCs of your artificer spells." (Emphasis added.)
Does the save DC bonus conferred by the all-purpose tool apply to the detonation of the cannon? Is a bonus to the DC of spells logically the same as a bonus to spell save DC?