This is true, when I've talked to my lesser educated LP fan friends, they always say they like the "older stuff" so much more than the new stuff, and a good deal of the time, they don't just list the generic "Crawling," or "In The End," some have said "A Place for My Head," "By Myself," "Easier To Run," and all those lesser known songs. I can use myself as a great example, the first LP song I ever heard was Nobody's Listening, which is their most underrated song of all time losing only to Easier To Run probably, which was only played live for like one or two small tours. Personally I think if LP did a HT only tour with an encore of their later hits (kinda like MCR with The Black Parade), it could work. Something like this.
01. Papercut (Smokeout 03 Intro)
02. One Step Closer (08 Intro, Reanimated Bridge with Jonathan Davis, Extended Outro)
03. With You (Reanimated)
04. Points of Authority (09 Intro & Outro or some new Intro & Outro with Petrified and There They Go)
05. Crawling (Reanimation Intro ft. Chris Cornell or Aaron Lewis)
06. Runaway (Short 04 Intro)
07. By Myself (03 Intro)
08. In the End
09. A Place for my Head (Brad Solo)
10. Forgotten (Singalong Bridge)
11. Cure for The Itch (Live Reprise)
12. Pushing Me Away
13. My December
14. High Voltage (Reprise) (This would be a great main set closer and hasn't seen the light of day since 01 unless you count it over POA)
Encore
15. What I've Done (Ambo Intro)
16. Given Up (Extended Outro)
17. New Divide (Synth Intro)
18. Leave Out All The Rest
19. Numb (Piano Outro)
20. Breaking the Habit (Piano Instrumental Intro, Acapella Outro)
21. Somewhere I Belong
22. Faint (Extended Outro)
23. Bleed It Out (All Extenders)
This could be a reasonable set for an anniversary show.