This word is acceptable for play in the US & UK dictionaries that are being used in the following games:

• Lexulous
• Wordscraper
• Wordosaur

n. The ability to destroy; destructiveness: as, “seismic destructivity can be accurately expressed in mechanical units,”

"It shows, through compelling detail and pointed animation, consumerism's incredible destructivity and toxicity, in all levels of the cradle-to-grave chain: extraction, production, distribution, consumption, disposal."