''I can't work out whether everything is as bad as I sometimes feel, or whether it actually isn't that bad and that I'm just over-reacting, or whether it is just that bad but I am minimising?''
This is a normal reaction to a crazy maker....you know the truth. But they make you doubt it.
He ''is currently reading the Lundy book' ....I would have advised you not to do that. I made that mistake. An abuser will like nothing better than to have the 'lingo' to use to sound plausible, and it takes a very smart counsellor to see through them. And helps him to twist your thinking.
Go back insed your own head, find the truth.
Having a daughter...'he wants the world for her': I may be projecting here but with my ex, having a pretty daughter, is good only as much as it reflects on him. Her having independent thoughts, is not good in his book, and he colludes with our DS to bully her. Except DS has been taught by me not to treat anyone like that.
"I also think that some arguments are my fault. I am so sensitive to the things he does that sometimes I'm preemptively becoming furious"...se gaslighting. Always listen to the feeling of anger, it wont let you down. I fyou are feeling angry, then there is a valid reason to be angry, however much his 'logic' might override it.
" It seems obvious really but I've always thought of myself as a strong person"..hah! they love a strong woman, a weak one is no challenge.