I'm sorry, I have to disagree with this. I believe your premise is incomplete. You can love someone without conditions and still be unable to remain by their side. The real misconception is that you cannot love someone you cannot live with. That's just not true. Just because you can't stay with that person, doesn't mean you stop loving them. You never stop hoping and praying for the best for them. I still love my kin, but I won't let them close in my life again because I will not subject my little family to their bigotry and abuse.
Love may change. It may become a thing of distance and regret and loss. But, love still remains.
As Shakespeare's Sonnet 116 says:
Let me not to the marriage of true minds
Admit impediments. Love is not love
Which alters when it alteration finds,
Or bends with the remover to remove.
O no! it is an ever-fixed mark
That looks on tempests and is never shaken;
It is the star to every wand'ring bark,
Whose worth's unknown, although his height be taken.
Love's not Time's fool, though rosy lips and cheeks
Within his bending sickle's compass come;
Love alters not with his brief hours and weeks,
But bears it out even to the edge of doom.
If this be error and upon me prov'd,
I never writ, nor no man ever lov'd.
To paraphrase an anonymous quote: "Watch me love you unconditionally while I walk away from your sh*t."