DAB can work well but as with all systems it's designed to be operated as cheaply as possible in terms of spectrum usage, so as many stations as possible are crammed in as possible on the commercial multiplexes, this means that some radio stations have bitrates that wouldn't have been acceptable even when MP3 players had 128Mb or less of memory, for example a lot of stations that use DAB+ have stereo streams at 40Kbps!, even with more modern encoders (DAB+ uses HE-AAC compression compared to standard DAB that uses MPEG2 compression). It i's regarded that for a quality stereo stream using MPEG2 compression 256Kbps is required, which nothing in the UK actually uses, the highest bitrate station being R3 which can be up to 192Kbps.
Of course this means that the quality is no better than (and in most cases worse) than FM, though it does have the advantage that digital compression can sometimes sound better than the analogue companding that is used on FM sounding clearer in a lot of cases. Also at the edge of coverage FM sometimes can fail more graciously than the digital mud and no audio at all of DAB.
As for coverage that is being expanded all the time with small infill stations popping up everywhere, this is easier with DAB in some respects as you can use single frequency networks, meaning that all transmitters covering a certain area can use the same frequency block (channel) using timing from GPS, allowing for a lot more infill transmitters that what would be possible with FM/analogue.
Whether loads of low powered transmitters are more efficient than a smaller number of high powered stations is debateable (esp. given the frequencies used by FM (Band II) travel better).
DAB can be good but it's a system designed to save money and as such will always be cobbled.