In answer to how many eggs my girls may lay in a week, it depends.
My 6 year old girls may lay only 3 a week, while my 2 year olds are laying 5 a week.
I definitely have noticed a huge difference in my bantam Cochins when I have put them up in wire bottom cages. Some of my isolation cages are up off the ground with a dropping board so I can burn their feces. In the past year I have not had very many new birds coming in so I treated part of the cages and put some of my girls in those to ready for a show. They hated it, stopped laying and for a month I worried about them. Once I showed them I brought them home put them back in their tractors and they went right back to laying up a storm.
I will be the first to advocate for roomy housing and fresh grass. My birds are far more important to me than showing but I will take them with their broken foot feathers, scratched feathers and just be happy to talk with others about our beloved Cochins. Mine are all winners in my eyes.
Most people on this website and especially this thread do not agree with me on many things but I assure you, I love my birds and anyone that has visited here can certainly tell you it shows. I breed them far more than I should and hatch 100's of chicks each month from my many breeding pens. I hate having to take out so many roosters but they are chickens. They have just as much personality as the one served in a restaurant or the one you buy at a grocery store.
I know most people see the Cochins as our pets but I was in no way offended by this person asking about them. However, I do not raise them solely for meat considering Cochins were and are royalty birds.