MUs usually accelerate more quickly than LHCS, which means that more trains per hour can be run on busy routes, and journey times can be reduced. I've read that the quickest Waterloo-Exeter journey time with around 14 stops is less than using a class 50 and eight Mark 2s, or even a 42 and a rake of Mark 1s.
On Mark 1 based units (such as the 101, 307, 421), if there was a problem with one of the coaches it was a simple affair to remove one and replace it. On units like the 377 and 444 that use computers far more extensively it's not possible just to swap a coach. That means even if a door fails the unit has to be taken out of service, which results in a cancelled train.
Remember, LHCS tend to be quieter than MUs because of the lack of underfloor engines or traction motors. The voyagers for instance are bloody noisy because of the cummins engine underneath the floor. Combined with the other faults inherent to a voyager (air conditioning stinks, too few seats, lack of luggage space), myself, and a lot of ordinary passengers I guess, would rather use an HST than a Voyager.