Yes the plumbing on ours comes up through the floor. It was carefully measured in advance to closely hug the inside corner of the cabinet and leaves almost the entire cabinet space available. There's a garbage disposal in there, plus a pull out trash bin and space leftover. Our drain is in the rear right corner, and the sink itself is in a corner of the island. Our faucet is in the corner, and that may have made all the difference. Here's a pic:

Yes, that's how mine works. But there's still some leftover space -- even after my garbage disposal is taken into account. I keep some cleaners in there, plus my plant-watering pitcher and dustpan. And paper towels on a hanger behind the door.

A sink cabinet is one of the very few places in a kitchen where, IMO, an oridinary door cabinet is best. (I'm normally a drawer fanatic.)

My plumber is coming tomorrow to do the rough in, and I am nervous, because at the last minute we decided to nix the peninsula and do an island as we originally planned 16 incarnations of my floor plan ago. I know the pipes come up from the floor, but what about venting? What is the space required for a Studer vent?

Our plumber said we can use an AAV - air admittance valve for the venting. Didn't sound like any problem at all. Of course, he is charging me $1300 to do the rough in for the island sink alone. Our layout requires an island sink - but at that price (plus the cost of sink and faucet) I hope I LOVE it!

We managed to get a sink, disposal, drain, icemaker, and outlet in our 65" X 30" island, and still have three drawers and some undercounter space.

Here is the island while I was building it (with no top). The section furthest away from the camera is for the icemaker. To the left is the space for the rectangular sink. To the right, you can see the three drawers.

Here it is completed:

The drain goes through the floor, and serves both the sink and the icemaker. There is also a small vent under the sink.

A kitchen designer aquaintance suggested putting the plumbing and electrical in a 2x4 wall same as in the hollow but she said to turn the 2x4's the other way so you only lose 2"

Diane: of course the pipes come up from below. But they should not come up in the middle of the cabinet. Rather, they should come up against a side or at a corner. Remember that cabinets have no hollow wall into which to run pipes.

Unless a savvy cabinet maker puts one in for you.