My own obersvation from visiting Chinese-run parlours, which was frequent, regular and of long duration, was that UK Border Force was on permanent sick leave, or else staffed by stooges taking kick-backs from trafficking groups. How else to account for the almost continual turnover of staff in the parlours?
Rotating staff throughout different city sites would imply that parlour ownership was concentrated in very few hands, or else was unusually co-operative, and I'd also expect to encounter familiar faces at different venues, though that rarely happened. Rotation throughout the country therefore seemed more probable, but that's just not the way that most people want to live, if they have much choice in the matter.
The following 'review', if it is given credence, is about a parlour in a mid-sized town
https://www.ukpunting.com/index.php?topic=207080.0.
There simply isn't the cover in a town like Bishop's Stortford to mask a rotating staff of Chinese happy-ending hawkers; and indeed, the link for the gumtree ad is already dead, though the review was only posted less than 2 months ago.
This seems to leave the issue unresolved. On the one hand, it's not possible to sustain a high turnover of meat-for-the-sausage-grinder without a constant cycling of that talent, invisibly, around the country and all of the organisation that implies. On the other, most people just don't or can't enjoy that kind of existence - which, furthermore would be made all the more difficult by the typically poor quality of English the parlour staff speak; their ages, and the lack of other obvious skills which might better explain their presence here.
I'm having difficulty squaring off those observations, but for one thing which would bridge them and make sense.