ive never had the whites but the browns lay quite well.pretty sure all leghorns lay white eggs.some have said the leghorns are spooky or not as tame as some other breeds though.we have found that with a basket full of crickets once a week or so, any of them will crawl all over you.
We own both brown and white leghorns. The white leghorns have laid everyday and in my opinion are not as flighty as the brown. In fact, one of our friendliest hens is a white leghorn. The eggs from the white leghorn are larger than the brown as well, though that may just be our particular hens.
The brown lay 5 out of 7 days on average and as I stated before are definitely more flighty. Yes brown leghorns lay white eggs.
This is our experience. I think each individual hen is different and others may have different experiences with the breed.