The only unresolvable problem in the DR680, also shared by the DR60 and all other lower priced Tascam recorders, is that the limiter is not in the first stage, as it should be. A poor decision from Tascam.
I wonder how they did that on their top recorder P82, as it is supposed to compete with Sound Devices, and they do put their limiters where they should be.
It's strange that nobody seems to complaint or even mention this (not minor) thing in this or other Tascam forums. Perhaps complaining over this might make Tascam correct that, at least on some of their models.