I don't know, I don't see the way they are as "truly loving her" and I suspect SHE doesn't either. Truly loving someone is loving them despite their faults, accepting them for who they are, regardless of their choices in life. It's about being who you are, in all your glory and all your ugly and knowing that you will still be loved even IF you did something awful.
This girl had to hide everything about herself for years and years, her mother made up in her own head who SHE wanted her to be and ran with that, lying and lying (lying to herself and lying to others!) beginning with Casey's pregnancy (though I suspect it began way before that, but I have no proof so I'll start there) about everything that DEFINES who Casey really is. She's still lying, making things up about Casey's life to what SHE wants people to think about her. She's lying about their relationship, abut what kind of mother Casey was, about not being worried about caylee when Casey was gone for that month, about the fight, the pictures taken while Casey was clubbing when caylee was missing, about Casey's job (one day Cindy says the cops are liars, that Casey did have a job, the next she says she didn't), she pretends Casey never stole from everyone around her.
I'll stop there but there's more, lots more... we all know that! None of the above is love, I'm sorry. Can you imagine being so UNaccepted by anyone (let alone ones own parents), that they feel the need to re-write your entire life story? This girl was never truly loved (or accepted) by anyone... least of all her mother.