IIRC there are several natural objects at the ~60 degree Lagrange offset - an asteroid or planetoid in Jupiter's orbit for instance.
Yes the Trojans, (named after the camped armies of the war of the same name...) there's concerns there might be lots of Junk in Earth's L4 and L5 points too. Although it might make it a good candidate for a short haul asteroid/space materials collection mission, or sweep some aerogell collectors through there like the Stardust mission did with comets.
Another thing that's important I just realized, L2 is just outside the moon's and Earth's umbra (shadow) and it has a fair amount, but not complete protection from Solar storm radiation. This would be an ideal spot to get a "toe in the water" and test out different shielding schemes, like a water-tank "storm cellar", magnetic shields (might be energy prohibitive without a big nuke plant), or high proton density polymers. This will be critical for any long duration Lunar presence that's not below the Lunar surface, or for longer duration asteroid or Mars missions. However, without full exposure, a shielding scheme that at least works somewhat, but not "as advertised" wouldn't be deadly.
Also, it will be a good way to simulate Lunar farside operations without actually being "Stuck on the ground". And there are multiple places in Earth orbit visible from L2 that other relays could be established as backups to test relay strategies, Earth is obviously visible all the time, save maybe when the moon passes in front of L2 once a month. Whereas on the Lunar surface, only some of the dedicated relays for that purpose could be viewable to call for help or suggestions should something go wrong.
And it is actually a minimum energy "sweet spot" to pre-deploy extra fuel, or landers etc. or a low energy point for other missions to actually depart from.
It's not particularly sexy mission, but it would be a serious commitment to some infrastructure and laying groundwork to going further out.
