honestly i completely understand how u feel.. i try to keep a nuanced view of her bc i know she suffered immensely as a child/young adult and she's changed and genuinely regrets everything, and because of that i can't say that i hate her. but u actually pointed out something i didn't even notice, which was that she doesn't actually spend much time with lyrica--in fact i think she spends way more time with the emperor (which i guess makes sense given the plot motive u mentioned and the fact that they're married and basically co-run the empire).
And she got burned on a stake. But I'm sure that does not count. The story has skipped years and the mother is definitely not simply soaking in a bath relaxing when she's not on screen/page.
Tldr: I genuinely just hate the mom
I get that shes trying, but this woman HORRIBLY ABSUED HER CHILD AND SOLD HER OFF in the first life, and in the second she still abused her then all of a sudden did a 180 and expects complete love and trust from her daughter.
Realistically (I know this is fictional but let me vent) a child's personality is developed between birth and around 5yrs. Meaning that whatever they experience in that time frame is what shapes them as people. Lily is a literal saint or an angel from the heavens because any other child would be beyond terrified, distrusting and ANGRY at this woman as they rightfully should be!
But now shes trying to buy back her kids love. Notice how shes not spending time with her and leaving her to attendants, friends or her cousin. Yes shes royalty now and trying to "do what needs to be done for the plot" but the point of this was to build a better life for her daughter who she only interacts with if shes in danger or going against what she expects.
And the "secret past??" Really? Its just you ABUSING your child and the reason youre scared about that getting out is bc everyone loves her and you know the moment thats exposed you're getting your ass beat to hell as you rightfully deserve.
Anyways thats my rant I understand if you dont agree but these are my personal feelings have a great day or night if you managed to read to the end of this