It seems that Laurie is the only character to see Jon as a real person rather than a freak, or a tool or a weapon, and I think that's what Jon values about her. And I think he does love her - he clearly still has emotions (almost every major act he carries out in the GN is driven by his emotion, rather than cold, dispassionate logic), but his intellectual and experiential alienation make it impossible for him to express that.
Indeed. I think is obvious that he keeps trying to reach to her and trying to make her seem things his way in order to keep the bond and I also got the feeling that everything he did in Mars was him desperately looking for a reason to connect with us again. I think that he if he didn't wanted to he would had just shut his brain to Laurie's speech but instead he keeps reasoning asking till he finds it, IMO.
Laurie's attitude, I'm sure, is a result of her unique upbringing - she grew up around Masks, sees them as the norm. Admittedly Jon is a bit more, er, exotic than the others, but she doesn't have the same benchmark as everyone else. I think that also explains why she ends up so directionless - I don't think she set out to become a kept woman, she just drifted into it. She's a Mask because she doesn't know what else to do. For her, normal life - working with animals - is exotic, and being a superhero is just there. Of course, once she stops being a superhero, she doesn't have anything else to do with herself... "normal" life isn't all it's cracked up to be!
I for one don't blame Laurie for not having a career I mean she was raised to be a hero and her mother made her join the team as soon at 16! I don't think she never even attended a normal school or had a chance to see what could she do without depending on others and then her first boyfriend turns out to be a God (a well payed one) wich means that she was again in no need to pursue things on her own, not even as a mask since Jon was also his partner (and it looks like the only one that wanted to hang around with her) so I think she also appreciated that he was willing to give her attention when she was the youngest member and probably must of them consider hanging with her babysitting, and then there was no more females on the team or femenine figures that could give her some advice of what to do when the Keene act passed.
I mean is a miracle she found the strenght to walk away from Jon the way she did (but again one have to wonder if she would have if Dan didn't looked so damn supportive and willing to pay attention to her), even if a week later she was already depending on someone else but after 30 something years a week is hard to leave old habits.