coolness vs disinterest

coolness

• Indifference; lack of passion or interest. 

• The state of being cool, i.e. calm. 

• The state of being cool, i.e. good or pleasing. 

• The result or product of being cool, i.e. good or pleasing. 

• The state of being cool, i.e. chilly. 

• The result or product of being cool, i.e. chilly. 

disinterest

• An absence of interest (attention or curiosity). 

• The absence of interest (bias or stake). 

• To render disinterested.