Of course, I disagree strenuously. I have accepted that KG won't be ranked with/ahead of Duncan or Shaq until he gets a bit more hardware, but I definitely put him solidly ahead of Kobe.
Why? What did he do with a crappy team that Kobe didn't? Won a MVP - sure - but Kobe got jobbed on more than one occassion.
Anything else?
I agree with the point in your first paragraph, that you should look at total package and not just count rings. As far as the question I've quoted, it really depends on how in depth you want to go. I'll start with the stats since that is in theory objective, and then we can go to the anecdotal arguments from there if this discussion continues.
Let's start with something you said in a previous post: "Define "production" formally a la Hollinger and come up with an actual list of your own and try to convince me if you want. " The thing is, using any 1 stat like Hollinger does leads to errors because all stats have holes/problems and relying on any 1 is dangerous. That's why I like to look at several with overlapping strengths/weaknesses, and if several tell the same story it gets more convincing.
Back to KG and Kobe...KG wins literally every advanced stat battle with Kobe that I can find. I mean, all of them. The two major schools of thought for advanced stats are to either come up with composite scores based off box score stats (i.e. individual production) or to look at how the team is impacted by one player's presence (i.e. individual impact).
Box score production: Over the last decade KG leads Kobe in PER (Hollinger), win shares (basketball-reference.com), wins produced (KG #1 overall in last decade, dberri.wordpress.com), wins above replacement player (KG #1 overall in 2000s, Kevin Pelton Basketball Prospectus), etc. (there are others, but you get the idea). All are calculated differently, all emphasize different skill sets a bit differently than others, and PER is even criticized by over-emphasizing points scored which benefits Kobe...but KG still leads him for that stat as well. I haven't seen a single box score stat where Kobe measures out ahead of KG for the decade.
Impact production: I am actually a bit more partial to these stats, because they are concerned with how much a player contributes to team benefit and not at all about what numbers he puts up as an individual. Over the last decade KG measures out #1 among all players in adjusted +/-, and he has the best on-court/off-court +/- scores of any player since 82games started keeping track of it in 2002-03.
Bottom line, statistically, KG both produced more in the box scores and had a larger individual impact on his teams winning than Kobe did over the last decade. And not even in a disputed way, as it's a clean sweep for every one that I can find. I'm assuming that you'll want to take this beyond just stats, and if so I'm glad to respond to that as well, but statistically it's pretty much a KG blowout.