Yeah, just saying when I hear "concealed carry piece" I think of something that was designed for concealed carry like a PM-9 or LCP or something. Technically I could register a sawed-off shotgun with the ATF and, with a sport-coat, conceal carry it all day. Doesn't mean it was made for that.
For home defense I think it's a matter of money and practice the person is willing to put in. If price is no real object and the training will be/is there, I'd say a full-size pistol is better for home defense. Can be used one-handed, quicker into action, generally higher ammo-capacity, in .40+ will do a more than reliable job at stopping the bad guy. My own home defense gun is a commander-length 1911 with night-sights and extended mag, giving me 10+1 of .45. But I can also make one large jagged hole at 20 feet, the longest I'd have to engage at indoors. Even losing half of that under pressure, I'll connect. Took considerable time and money (ammo costs) to get there though, and a lot of people can't/won't do that.
A shotgun is the best all around option if you're not going to keep up with the training. Naturally pointing, easy one-shot stop if you load it with the right stuff, and if the racking doesn't make the bad guy shit his pants; even if you miss, the boom will probably scare him off. Plus the advantages you mentioned.