Quite a number of the mothers of the ethnically Pakistani children I work with are illiterate. Either because they grew up in Pakistan or because of prejudice/lack of support when they were educated here.
It's a good start to see the most able of potential BAME candidates getting elected.
But it's a mistake to imagine that there isn't as much diversity within the Pakistani community as within our own. And true representation would give all its groups a voice.
And your last point is one that is easily forgoteen - falling under a particular label doesn't imply that everyone in that group is homogenous and has the same needs or the same barriers facing them. Ad astra per aspera