Of course exams are discriminatory, that is literally the purpose of them. 
It's amazing how people don't understand that learned professions are always going to need some form of quality control of their members. If you make it impossible to do that openly via rigorous meritocracy, you will instead get hidden, informal, secret judgements being made.
The deeper problem here of course is the equality regime itself, the abolition of meaningful exams is simply the outworking of the logic behind the Equality Act and its whole family of legislation going back four or five decades.
The students behind the demand are simply being consistent in following the principles they have been taught since they first started school.
To steelman a bit here, the argument seems to be that the exams demand "cultural-social background knowledge" that not all students possess. But this seems like quite a big claim, & implausible on its face. I'd have to see some good clear examples before I believe it.
I just find it very unlikely that in 2025 the questions on English solicitors' exams contain coded references that only privileged whites can reasonably be expected to understand. It fails the smell test as an assertion.
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