Bloodline Mutation Variants & Transmutation

Looking at the Sorcerer Bloodline Mutation Variants from Paizo’s Magic Tactics Toolbox. Do either of the three variants (Havoc, Intensity, or Piercing) have any effect while ‘you’ are under the effects of a transmutation/polymorph spell?

Are there any other Mutations (or similar variants) that have been published that would affect being polymorph as such?