I don't even really know why you'd make the distinction, other than snobbery against people who don't play live.
No snobbery from my side at all, just explaining certain things.
Such as, say, global blocks (or the Kemper sort-of-equivalent, namely parameter locks). Which may have zero influence on a home player. It pretty much wouldn't for me, in case I wasn't playing live.
At the same time, whatever last ounces of accuracy simply are almost completely irrlevant for my live playing purposes (and the same is true for many other live players I know, regardless of their fame). Sure, there's a certain "basic sound quality" you want, but these days all of the usual suspects (including the Kemper) are delivering that. And beyond those basic qualities, it's completely different things becoming vastly more important. Such as ease of use, utilitarian functions, transportability, perhaps also ease of getting a backup, etc.
For all of these reasons, I will purchase a GT-1000 in some weeks (some shows coming up where it'll come in super handy). Something pretty much each and every home noodler will have a good laugh about. And perhaps even rightly so. Still, for me, it'll very likely be *the* perfect live companion that none of the others even come remotely close to for a variety of reasons (some mentioned above already).
It's got global blocks (only the Axe FX can compete). It's got an EXP pedal onboard (which I really like for the majority of gigs I'm playing). It's got a mobile OS editor. It's got terrifically fast patch switching, almost gapless (and completely gapless in case you only change parameters) with reverb/delay spillover (pretty much none of the others can compete). It's super backpack and suitcase friendly, something making my life a *whole* lot easier for some gigs. It's road-worthy. It's got excellent stage visibility under pretty much all conditions (looking at you, Helix Floor...). Having a backup is easy (in case I'm happy I may buy a Core or even second full one, also, at least in Germany, should it break, I'd have a replacement the very next day).
And what not.
Pretty much none of these are relevant for any home dweller. But they're very important for me, especially as they're coming combined in one single convenient package.
And to get somewhat back to topic: The Kemper is checking some of these boxes, too (at least the Stage).
And to add to all of the above: For the kind of gigs I'm playing, a device checking all my boxes will likely even help me to get a better (!) sound than whatever most authentic sounding piece of kit - simply because I'm able to quickly adjust my sounds to suit an unknown environment (lots of my gigs are just like that).