I respectfully disagree with his obsession being influenced by movies cause's it was shown more often that Logan being dreaming about Jean a no of of times before Morrison run . Therefore it's nothing new about Logan dreaming about Jean ,but since Jean expressed her feeling towards him before her death ,it led to somewhat more trauma for Logan which cause more dreams for Jean after that .
Only thing that movies influenced in Logan's life on comics were
1)Popularity
2)Overexposure- That maybe the reason why Jean and Logan became couple ASM ROV but i don't think think it has to do anything with Logan 616 , as Scott explained
3) Retconned Relationships and Origins time after time
After Mariko's death , her death made him so much traumatized that he realized that he was willing to sacrifice his feelings for Jean's love during Fatal Attractions and it wasn't the first time that he has done that (Morisson run ,twice and Wolverine and the X-Men in front of Scott) .
I wouldn't deny that he has an unhealthy obsession but his obsession didn't tend to stop his sacrifice for his feelings .
I wouldn't say that Jean has feelings for him but she do cared about him that was being shown a no of times with or without Morrison and Classic X-Men .
IMO I think that writers never tend write this relationship with serious ethics or depth(which has happened with Logan's life , time and time again) , especially for Jean's POV , therefore i never care or bothered about this relationship .
Only thing that bothers me right now i.e whether we will be getting any ongoing series or not and reprise his relationship with Mariko after his return(with some consistency) , which i believe to be the Logan's love of his life .
P.S: Tbh i thought AOA Jean and Logan do have more similarities than his relationship with Jean but sadly editors ended their relationship sooner .