Yeah Actually there is, Not from God, God is perfect Love, But from fleshly mankind? Yes there are all kinds of psuedo loves..
I understand your way of building definitions in your language. Love is a positive feeling towards the object of love. This attitude has few limits. It is used throughout society to express this attitude towards things like I love that song, I love sweets, I love money, I love beauty, I love nature, I love God, I love my wife etc.
Now each person adds to their love of things by actions, or ways of expressing it, or devotion to the thing which defines what they will or not do because of it.
So when you say there is pseudo love, you are saying a particular way of expressing love in God has certain characteristics which some people who have faith do not seem to express.
We love because God made us to love. Everybody loves, it is who humans are. The more disfunctional you are the more shut down this love is. Everyone has the capacity to love. If you do not know this, you are very closed down and blind. It is why humanists become humanists, because of statements like
"If we have not experienced Gods love, then we have no capacity to love"
This is arrogant nonsense.
Sin is all about doing harm against others for the benefit of self. There is no limitation on the context this is done.
Anyone can serve anything and anybody, it is not limited to faith. A righteous act can be done by anybody.
No one is righteous, acceptable until they are washed clean, because everyone has sinned, and sin makes us unrighteous and unworthy.
Now our language is similar but far apart. It is obvious you are very religious in your definitions and feel you have it completely sown up, when you obviously miss-use them a lot.
It is not surprising therefore we do not agree. A lot of miss-understanding and talking at cross purposes obviously results, which is how we can equally get upset about the same ideas in different ways. It is not surprising therefore how our theology often falls short to capture the glorious nature of our Lord and who we are in Christ.