It would be a fairly common arrangement is '1D media' had effectively one customer, which is their record label. It used to be the case for example that lots of footballers were single directors and sole employees of companies instantiated in the Isle of Man and the club the players played for paid the company for that player's services, thus the player benefiting from a favourable tax arrangement. IIRC that scheme was booted not by HMRC but by the football league, which banned 'third party ownership' of player's contracts.
The point about this of course is that the profit 1D media makes is therefore defined not by the total income related to 1D but by the terms of the agreement between 1D media and the record label, which ostensibly does all the work. So yes, they're probably paying exactly as much tax as the company's profits requires but 1D media's profits may have a somewhat loose relation to the amount of money '1 Direction' the band actually brings in. At some point in the future when sales have dropped, the record company will probably pay each member of 1D a lump sum in return for their share of the 1D media business, which will be taxed as capital gains (25%) not income (30-45%).