By all means, you should do what ever you like, both functionally and aesthetically. I never care what's trending and have found that most things I've done that were thought to be out of style at the time, are back in style sooner or later.
Personally, I prefer the look of a single, expansive counter top. It seems to make our kitchen and family room feel like a more continuous space. Just my opinion. Here's ours under construction.
By the way, my favorite piece of the entire remodel is our Kohler Iron Tones kitchen sink (under the window). It's absolutely beautiful and at 10" deep you'd have to really be looking to see a few dishes sitting at the bottom of the sink.
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kB living room
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