With a proper holster, I don't think there is any real difference, especially if the "compact" auto has a wide slide like the small Glocks. "Deep concealment" usually applies to those folks, like some undercover cops, who need maximum concealment even at the sacrifice of access speed (e.g., a gun taped inside the thigh and accessible only through the pants fly). An off-duty officer or a licensed civilian seldom needs that kind of cover.
The problems of "printing" are usually overstated. While you need to keep old ladies from running around screaming "he's got a gun", most folks won't know what they are looking at. Cops might, but the license or the badge answers their questions.
Jim