Ofcom in the UK has struggled for years to provide equivalent coverage for DAB stations (to analog FM). They've blanketed the country with digital multiplex towers from which every digital station in a given region transmits. The build up came after tons of complaints about drop outs and poor signal coverage. Now, most of the population centers are pretty well served by DAB. Yet many rural and less populated areas still lack coverage.
On the other hand, some areas have made out pretty well with DAB. The DAB towers are often in different locations than the FM transmitters, and actually crank out more power in many cases than the analog signals that they are meant to replace. Remember, for every national signal (like BBC 1 or Classic FM) with tons of 100 and 150 kw transmitters, there are a dozen commercial broadcasters with less than 1 kw. Most FM stations have relatively low power, unlike here. DAB, on the other hand, can actually serve a larger area. Secondly, some areas of the UK have long had a paucity of analog FM signals (Stoke on Trent comes to mind with maybe 2 local FMs + BBC). DAB brought many times that to those areas (15 to 20 different stations). Despite all this, there's a huge protest to the proposed abandonment of analog FM in 2015 - which IS absurd, by the way.
So, as you can see, there's NO comparison between the UK's DAB and our crappy IBOC system. DAB is on a different part of the spectrum and doesn't interfere with other broadcasts. It does have a roughly equivalent footprint (slightly less overall), and it's been working pretty well. And, unlike here, it serves many grossly underserved areas with basic FM formats that they never had. In the US, most markets have an excellent variety of AM and FM format choices - in the UK, basically London/SE England, Manchester and parts of the West Midlands can say that. So, DAB does fill a need in the marketplace.
Again quite unlike IBOC.