[2021] Does Corrupting Fever inherit tags from the skill that applies it?

So, if I shoot something with a bow while Corrupting Fever is active, is the corrupted blood scaled by "increased damage over time with bow skills"? If I apply it with a skill that has "modifiers to spell damage apply to this skill's damage over time effect," does that then also affect the corrupted blood? Or can the damage only be scaled by generic increased physical damage and increased damage over time?