Most of these definitions cover a spectrum of behaviour, in levels but also in time. Children learn to mask/act. Often home is the one place where you can let your guard down, see if your parents will love you "no matter what".
I recommend the following, worked well for us:
Debbie Gliori's 'No Matter What'.
You may find the rhymes repellent ( I do, sorry Debbie); you may think it too easy for her. But the message is invaluable: I may not like your behaviour but I will love you no matter what. And children are fine going back and forward in ages of reading.
We read it as a bed time story again and again, unusually me reading it. Then we used it, when behaviour unraveled. It was much better than "I love you but I don't like your behaviour": , true, but uncomforting, even when said the other way round.
Sometimes we used both, using No Matter What as the end piece. Sometimes tears resulted, there was always a cuddle.
We also read Aesop's fables at this age. They are easy to read and short. So you can slip the boy who cried wolf in easily. It's a good one for lying. Read others around it, the dog in the manger, the north and south winds, the fox and the crane. If you can get a copy, second hand eg from Abebooks, with the Rackham illustrations, it's a great bed time book.
Honestly, calm, unemotional, on the lying.
Also, discover what's going on in school, both from a teacher and a cuddle in the sofa, " what's up, love? You don't seem very happy to me at the moment." Or in the car, no eye contact. I found misery at school translated directly.
Hth pm me if you want,