The title is self-explanatory. If Hydrapple obtains the ability Serene Grace (Through Skill Swap) and uses Fickle Beam, would the 30% chance to double damage be boosted to 60% or not?
As a convenient test, anything that gets doubled by Serene Grace, is also guaranteed to get reduced to a 0% chance if the target has Shield Dust or a Covert Cloak. In this battle, the Umbreon holds Covert Cloak and gets targeted by Hydrapple's Fickle Beam at the 7:30 mark, which gives the "going all out" message. So clearly the power boost is not considered a secondary effect, and Serene Grace won't be able to double that chance.