Digital schemes like TETRA and DMR compress the audio and add error correction. The audio bitrate for DMR is somewhere around 2400 Baud. This means a lot has to be thrown away. As a result, some things confuse the codec (usually AMBE). I have Scottish and Irish friends with strong accents; AMBE makes their voices both indistinguishable and unintelligible.
The second problem is what's sometimes called "the cliff-edge effect" or "graceful degradation". An FM signal degrades progressively as the signal gets weaker. If there's a temporary 'fading', you'll get a bit more hiss for a second or two. An experienced dispatcher or radio operator will often be able to "hear through" the hiss.
Digital signals don't degrade gracefully. The audio quality is perfect up to a point, but after that point things fail quickly. You get corrupted, missing or glitchy audio, loss of control packets (more lost audio), loss-of-sync (no audio until the next SYNC burst, ~1-2 secs)...
Incidentally, analog speech scramblers have similar issues. Rolling Spectrum Inversion scramblers send an FSK data-burst every time the seed (ephemeral key) changes. If your radio misses one of these bursts, the rx/tx audio will be screwed up for a second or two.