If you trust somebody that gets you killed, that's very poor judgement and wisdom.
Yeah sure, I think this is a ridiculous way of looking at it. It's 100% ex post facto. Given what Ned knew, and being as icily unfamiliar with politics, I would have done the same... if I also had his stubborn views of justice (i.e. supporting Stannis... personally I would have went with Renly's plan).
If I was a Faceless Man who looked like your mother and said "get in the car, son!" and then drove you off a cliff, it would unfair to say you have bad job for "trusting someone who got you killed". Ned entered a game that was a million percent stacked against him, and held to a view of honor that I think the Father would approve of. Nothing about being the Father has to do with being sly and good at seeing deception. "Judgment" here means more like a judge, not a lie detector. I thought Ned's scene on the Iron Throne was very Fatherly, to be contrasted with Tyrion's scheming. Tyrion was smart and shrewd, but not Fatherly. I am regretting biting onto the way you used "judgment" as the sense of this word associated with the Father really isn't about being smart and clever and sly. It's about having a good and fair and just moral sense.
A great mother would care for children that aren't biologically hers.
The reason she's called the "Mother" is that she cares for her "children". You are holding Cat to the standard of the actual god, e.g. all folks are her children. Luckily, Cat only has to care about her actual children to qualify. Similarly, Cersei embodies Motherliness fine, it is just very selective. Good lionesses don't show mercy to the enemies of their offspring.
Also after her resurrection
You mean when she isn't Cat? Again, fine. I agree LSH does not embody the Mother. Nor does she embody Cat. And again, she doesn't have "compassion, mercy, or love" for the Freys and her enemies, which still qualifies for my way of defining an acceptable Motherly personality.
Don't take this so seriously, it's all in fun.
I am taking this seriously. I don't write things I don't take seriously.