Jesse,
I didn't implement the "LATEST" keyword for the mesh section. It should be easy to add, but just hasn't been requested before and I guess I didn't think about it when I was adding that in other places in the framework. If you look at the restart.test_2 example. It does indeed load the latest solution as you already pointed out, but it explicitly gives the name of the mesh file. Yeah, I see the discontinuity there.
I'm a little unclear if the restart.test_2 is failing for you unchanged or not. It certainly should not fail if you haven't changed the input file, if it is, then we need to look into that. Please clarify this point for me.
I'll add a ticket for loading the LATEST mesh too.
Cody