I wouldn't encourage it necessarily but exercise great caution if you proceed. They certainly should function well, and as long as the DC voltage is in the ballpark of the AC RMS rating, then losses will be similar. I've done some tests historically for "second-life" recycling of ATX PSUs and they all functioned correctly.
As pointed out, fuses would need to be DC rated AND rated for fault current of the battery bank, I don't suppose it would be out of the question to install an additional DC fuse externally to the PSU?
Earthing would need some thinking, I think you would need some specific filtering, less so to remove the interference/noise but to provide some defined HF impedance between +ve, -ve and earth, otherwise, I'm reasonably sure that the loop of batteries would radiate pretty chronically. I would avoid a directly earthed -ve terminal for safety reasons...
With regard to "safety"... with DC, you lose the nice protective features of an RCD, so typically a DC system would have something like an Insulation Monitoring Device (see Bender GmbH for examples of DC protection).
I want to avoid giving too much of my personal opinion in a safety matter, but, if I was forced to use DC and I had a limited budget... I would be seriously contemplating whether an 'over-seas' inverter was genuinely safer than a DC system without earth fault or insulation monitoring.