Does the nature of God's love for us include what we humans would call "constant, strong, and genuine affection"? (Catholic) I know that God "loves" me, but does the nature of God's love include what we humans would call "a constant, strong, and genuine affection"?

I am asking this because in Catholic church, God's love is "caritas". "caritas" is love that is in will that is not dependent on emotion. And I am having a problem with it. I take "caritas" as love without genuine affection towards its recipients, a.k.a. "cold love". 
Like, I sometimes hear Christians saying "I love my neighbour, but I don't like them"; they perform various acts of charity for their neighbours, but they don't like their neighbour. They do acts of charity in their commitment to keep the commandments, but if there is no commandments, they would rather not carry out the charity for their neighbours. In terms of "caritas", such Christian do love his neighbour through his action, yet such love is love without genuine affection towards its recipients. I would call it "a cold love"; I also feel that such love is a fake love - love missing its essence. And sometimes I do wonder if God's love for me ("caritas") is, in fact, a cold love.

so my question is:

I do know that God "loves" me, but does the nature of God's love include what we would call "a constant, strong, and genuine affection"? (I know that God doesn't experience emotions like affection, but I am wondering if the nature of God's love for me includes what we humans would call "a constant, strong, and genuine affection" )

Please answer according to Catholic understanding of God's love.
The Catechism says


  
  God's love for Israel is compared to a father's love for his son. His love for his people is stronger than a mother's for her children. God loves his people more than a bridegroom his beloved; his love will be victorious over even the worst infidelities and will extend to his most precious gift: "God so loved the world that he gave his only Son."
  
  Jn 3:16; cf. Hos 11:1; Is 49:14-15, 62:4-5; Ezek 16; Hos 11
  





  
  The hierarchy of creatures is expressed by the order of the "six days", from the less perfect to the more perfect. God loves all his creatures and takes care of each one, even the sparrow. Nevertheless, Jesus said: "You are of more value than many sparrows", or again: "of how much more value is a man than a sheep!"
  
  Lk 12:6-7; Mt 12:12
  





  
  God who created man out of love also calls him to love the fundamental and innate vocation of every human being. For man is created in the image and likeness of God who is himself love. Since God created him man and woman, their mutual love becomes an image of the absolute and unfailing love with which God loves man.
  
  Cf. Gen 1:27; 1 Jn 4:8, 16.
  


Those references describe what seems to me to be a "constant, strong and genuine affection".