How could you be genuine if you don't have integrity. There is nothing truthful or authentic about a lie. The truth leaves no room for excuses,sincere people take accountability for their actions. All religions or spirituality teachs,integrity,compassion,respect,loyalty,faith etc. Love is defined in all things good or bad.
We are suppose to  by example and correct our mistakes that we all make. The value of love today have people given up. Discarding what seems broken without making a effort to repair. Running from their problems without truely acknowledging them. Making excuse to justify them selfs,but you can't hide from your self. It takes courage to be honest and admit to your mistakes. Self reflection gives character of integrity because if you can't be honest with your self then you're not genuinely to your self nor others.