I don't think that the type of guitar (tradtional, DT, or lattice) will dictate how long the guitar lasts per se.
A friend of mine had an early Damman double top, and he had it for 20 years. The sound continued to improve over the years, it needed no repair work, except action adjustments over the years and some french polish touch up.
OTOH, I've seen double tops that were very poorly made. One in particular (obviously no name mentioned) had visible nomex cells practically popping through the top, loose seams, and other structural issues. But as I say, these were not problems with design, but rather execution of the design. Sloppy workmanship can be found on any kind of guitar. I don't think double tops are necessarily going to be short lived.
However, if they do get damaged, the are more difficult to repair, and in some cases likely to be impractical.