11 tooth sprockets aren't as widely available, especially on 9-speed stuff. And they're not available on shimano cassettes with anything bigger than a 23 IIRC.
I ride a 12/25 sprocket with 39/53 chainrings and can get up anything I ride in the Pennines. Yes, I could spin up stuff slowly with smaller chainrings, but at the end of the day, it's a race bike and there's no point riding like a vicar!
When I had a compact on, I was spinning out over about 40mph – a speed I expect to exceed several times every ride. Yes, I could have changed sprockets, but I find a proper chainset combined with a 25/12 cassette gives me the perfect range of gears, and I don't have to keep shifting chainrings to find them.