The cultural understanding of love wouldn't include any space for things like "judgment". And within the social sphere, between and among fallen human beings, this makes sense to some extent. But from the perspective of a perfect Creator God who is far above His creatures in every way, space for righteous judgment as an aspect of love opens up fully, and is in fact logically necessary. The lyricism in the following track by Evangel expresses what God's Love is while being careful to contrast it to our culture's understanding of love.
God is Love, we don't need proof of it / We see the truth of it in the crucifix / But He's not just the God who's got Love for the lost / But the God who said this world was judged through the cross / Believe it / God was Love, even when He sent His Angel of Death to kill the firstborn of Egypt / Not Casanova / But Love that needs the Lamb's blood for passin' over / The Wrath of Jehovah / With all that in mind / Know God is Love which suffers long and is kind / 'Til we fall into line / While His anger is buildin' / Patiently awaitin' His children / To become the world's strangers and pilgrims