I agree with bat, breastfeeding covers, with their bright colours and strange shape, bring much more attention than a baggy top or scarf.
They're not designed to pretend you're not breastfeeding though, are they? Why they hell would you want to pretend you're not feeding.
I wish they made them with HEY I AM FEEDING MY BABY written on the front to counter exactly this kind of assumption.
Sorry rant coming up but... one of the main issues I've had with certain corners of the online BF community and one incident in real life is cover shaming/misunderstanding.
Covers aren't generally used to hide the fact we feed. They're used to cover mum's skin above or below baby. Those are two TOTALLY different things.
Many women don't use covers to hide the fact we are feeding: we use covers to facilitate a restful feed with a distracted baby, we use covers because the little wire bit gives a good view and a scarf doesn't, we wear covers when it's too warm for 2 layered vests ... or more often to hide skin we might not want to show for cultural/confidence/scars/body-image reasons or - in my case - an unsightly postpartum rash. We don't care whether people know we are feeding!
In fact we're proud of the feeding part. And our body issues/beliefs are our body issues/beliefs, along with most of the population. Having absolute body confidence is NOT a requisite for feeding and I cannot stress enough covering up your skin is NOT the same as a desire not to be seen as feeding: I am 100% completely happy to be seen as a natural term breastfeeder. As such, I therefore resent any criticism of my choice to use a cover.
Furthermore I find it incredibly ironic that the same people who second guess me as ashamed because I use a cover then go on to tell everyone that using 1-up-1-down or a scarf is more discrete!
Who wants to make it seem like they don't want anyone to know they're a breastfeeder now??
I think the Badass Breastfeeder did an amazing post on exactly this topic - cover shaming/hierarchy. www.thebadassbreastfeeder.com/breastfeeding-public-nursing-covers/
As I said upthread, the ONLY time I've ever had a bad experience feeding was when I was cover-shamed. I was trying to feed my very 'wired' 8 month old to sleep. The cover was essentially blinkers: it was not a 'blanket' stifling her, it was light cotton. She was cool and comfortable out of the sun and conked out asleep, I used the cover as a 'top' as I popped her back in the pram then hooked up my bra etc.
I bloody well co-ordinated a local BF cafe FFS!! Everyone in my area knew full well I am a feeder.