Overall, I've been a fan of pistol-cartridge carbines since I was a kid; whether they were leverguns, bolt guns, or semiautomatics.
The two basic "types" are effectively divided by the cartridge types for which they are chambered - rimless cartridge autoloaders, and rimmed revolver cartridge autoloaders, bolts, and leverguns - of course, leverguns being the most common in this bunch. The cartridge types tend to dictate the utility of the carbine.
The revolver cartridge carbines tend to have greater utility than their autoloading rimless cartridge carbine cousins, obviously due to their greater power factor. We've recently seen a 44mag carbine thread here (which not surprisingly got pretty heated), noting utilizable range beyond the average hunter's typical need for "hunting range" of 0-100, maybe 150yrds. If a guy is the type to fancy a levergun, then he's also likely the type to fancy something different in his cartridge choice too - which I favor as the driving reason the BLR never took off, nor the Marlin Express cartridges, compared to the Win 94 and Marlin 1984 and their kin. The Ruger 77 Rotary series enjoyed a good following in its day (hate to see it go), and the old Deerfields really were a force in themselves - but obviously neither served large enough market to self-sustain, so it's the leverguns which prevail.
Rimless Pistol cartridge carbines are a bit different for practical utility. While I've hunted extensively with pistol cartridge carbines, it's a very specific application with strict limitations. For size, weight, and cost, the range is drastically limited compared to traditional hunting fare, even compared to revolver cartridge carbines. A 9mm carbine (or better still, a 357sig!) is quite likely the most effective "feed lot gun" I've ever used. It's application for deer is sparsely better than that of a pistol, very short range proposition. Precision for small game is typically lacking compared to rimfire firearms. For "tactical" applications, I don't tend to see semiautomatic 9mm carbines having much advantage at all over rifle cartridges, other than cheaper ammunition cost potential. They're effective, no doubt, but not as much so as a more versatile rifle cartridge carbine. In sub-machinegun application, I can be convinced the story is different.
In any form, I very much enjoy pistol and revolver cartridge carbines, and especially love painting myself into limited range hunts where I can use them.