LORAN isn't a backup for GPS now. Most aircraft use one or the other, and very few use LORAN anyway. No one is flying hardcore IFR using LORAN. The FAA is getting rid of NDB and VOR as well. They're much more relevant than LORAN ever was. Ultimately GPS has and will continue to revolutionize IFR air travel. Its simply a matter of getting the right gear in your plane. Most general aviation aircraft and pilots are not equipped or trained respectively, to handle hard-core IFR flight anyway. IFR on-top, special VFR--these are the realm of the casual IFR pilot and aircraft. If you don't have a serious avionics suite and serious proficiency as a pilot, you have no business conducting IFR operations from wheels-up to wheels-down. Therefore, LORAN isn't relevant and should be allowed to fade away.
It would be interesting to hear from some mariners about the relevance of LORAN for them. I always saw it as more of a maritime technology anyway.