The aim is not to disturb the sediment as it tastes bad, hence why you store bottles upright, don't shake them about, pour slowly down the side of the glass, leave the last centimetre in the bottle and leave your pint to settle for a few minutes. To my mind Brewdog beers taste choc a block full of that unwanted dead yeast. Most breweries don't build an entire range of beers with that characteristic and end up in the top tiers of the independent beer league.
I think it depends very much on the beer. Most UK styles are traditionally served clear but there are loads of continental types, especially anything wheaty, where it's mean to be cloudy and are even instructed on the bottle to pour it in such a way as get to the sediment into the your glass.
This enormously hoppy Belgian ale:
comes served with a beer glass and also a special shot glass, the idea being that you pour 9/10 of the beer into the glass and the last drop into the shot glass, with this thick sediment of yeast and hop extract in it, and if you're so inclined you can finish by doing a shot of this hyperhopped beer. Which is kind of a novelty but actually quite good, in a bracing sort of way.
With UK cask ales, I find that cloudiness affects the look much more than the taste, unless you can actually feel pieces of grot floating around in your mouth, which isn't nice. People say that drinking cloudy cask beer gives you the shits something terrible the next day, but I haven't found that one cloudy pint causes any problems.
Unrelatedly, I spent the w/e in London and am seriously starting to wonder whether this US-style 'craft beer' invasion is entirely a good thing for beer quality and choice. So many of them just seem like a caricature of a British or continental beer style, they're often very expensive, they can be offputtingly strong (esp. in the summer when you want to quaff) and are invariably served far too cold. OTOH, I had a pint of pretty good stout that was only £3 in an American style brew-restaurant (brasserie, I guess) off Kinglsand Road yesterday.