I think compared to most bands the Eagles seem less worried about 'playing the new stuff', even back in the 1970s - see Lyin' Eyes and Take It To The Limit only becoming regulars in 1976 rather than immediately after the release of One Of These Nights. Frankly they have more than enough really good songs to fill a setlist anyway, even more so with the inevitable inclusion of Walsh solo songs (and prior to the HOTE tour, solo Don and to a lesser extent solo Glenn), so even with three hour shows something has to give. Fortunately, in the case of HOTE this has mainly been solo work, enabling the aforementioned 'lost classics' to rub shoulders with the big hits.
I must admit I think the Eagles should play at least one song from LROOE on the history tour. Yes, it's relatively recent compared to most of their other work but it makes it look like they think the album isn't up to scratch (which I have to disagree to with). If they only had a limited amount of time to give to the album to fit everything else in I think the title track would be a bit too long to include, as perhaps would WITW as terrific as it is, but I think playing How Long would be a great idea as it's recognised by fans of the early days on top of being an excellent tune. Somebody would be a cool inclusion too. Also, I know many are likely to disagree but as far as Tim songs go I'd rather they played Do Something than Love Will Keep Us Alive.
Off-topic: just had a look through the list of songs played by the Eagles and discovered that they played Chug All Night with Neil Young in 1974 along with Carol and Neil's own Down By The River. On the same night according to this site he also played for the first time three songs from his then new On The Beach - Vampire Blues, Ambulance Blues and the brilliant Revolution Blues. If someone invents time travel I'd love to go and see that concert!
http://www.setlist.fm/setlist/neil-y...-7bc10678.html