It sets the standard of a “good Muslim woman” and inadvertently puts pressure on other women to be as good as the burka wearers
No it's not. That is entirely based on what YOU think and perceive. And not from personal experience.
Sit in on a conversation from true experience.
'Woah, you're wearing Burkha?!'
'Yeah!.'
'Let me try it!', 'hmmm it doesn't suit me, I look fat'
'Awe no, you're stick thin!'
'Are you kidding me?, I've eaten like a horse these past few days. I'm thinking of hitting the gym'
'Oh what gym? I might join one, where were you thinking?'
'The one on so and so Road, but I'll need to get the bus'
'Oh shall we join together and we can drive'
The point is, it's not as oppressive as you think. You speak of a pressure that really isn't there. And that's based on real life experience and not the assumption you have made.
I dress in jeans and a top mostly. I have never been made to feel like the negatives you describe a burka wearing Muslim person is supposed to inadvertently make me feel. That's not true. Again, that comes from a real life experience as opposed to your assumption.
We are three best friends. One of which is covered, two of us who wear whatever we want. No one in the group feels inadequate. We tend to talk about child birth and what stage our children are at.
Those oppressive feelings you're talking about? Don't happen. And again, based on REAL LIFE experience as opposed assumption.