I've read accounts that even 1.5 inch added during the lengthening phase reduced a lot of their height neurosis. For some even average height isn't enough to cure height neurosis and they will need further therapy. For others even reaching 170-173cm will give them satisfactory results and height neurosis will be faded. Plenty of diaries on the forum where the individual starts off as 5'5-5'7 and lengthening to 5'8-5'10 made them not care about height anymore and are satisfied with their results.
LL curing height neurosis is really a case by case basis and depends on the individual.
I think we can try mental therapies at first and if they failed at last then we can start to consider LL.
Likewise plastic surgeries are supposed to be placed after mental therapies as well.
I don't think it's rational to consider LL as the final plan at first and deny the effects of therapies, or other treatments for mental issues, and just jump to conclusions that there are no other better ways than LL.
Also from my observations of this off topic, LL is not always the best resolution, at least it seems not gonna cure their neurosises completely and the mental detriments from height will be residual even after finishing LL.
But yeah I am also one of that kind of people you are referring to. Every 1 inch can reduce my neurosis a lot but I am lately afraid after LL I will be also whining about unfairnesses like my friend. But after LL I can get taller to 178cm which is a decent height in China so maybe my post-LL situations are far better than his but his perspectives are impacting on me.