Shifting is NOT smoother on a compact. The 16 tooth difference (typically) makes the shifts more awkward, and sometimes requires some "attention" to execute.

Cross chaining is much easier on a compact. If the chainline is correct, you have the use of more of your cluster on both rings. There's where your equivalent effective range comes in.

I have a compact on two bikes and a triple on one. I like them both, but I think the ability to climb further up the rear cassette on my 50t ring is really nice.