It may have the minimally required three inches to the side to a combustible surface.

it's probably not a real working kitchen - just a staged display

How do you know its 3"?

I have no idea what range that is. Is it a sealed burner; an open burner: what are the btu's?. They all have different installation guides. I know I've read many of them. They range anywhere form 1" to walls above the countertop for the old fashioned open burners to 12" for the newer sealed burners. See Fisher and Paykal here:

http://www.ajmadison.com/ajmadison/itemdocs/OR30SNDGX_installation_instructions_and_user_manual.pdf

The most common seems to be 5-6". Premier ranges for example all require 5" to combustibles less than 18" above the countertop, even if the range has 4 9k btu sealed burners, Yet Maytag and Whirlpool have many ranges with 2" clearances to combustibles; many of which have up to 15K sealed power burners. Kenmore also. Kenmore has a chart 9-15k 2" and it increases from there based on burner size.

To make matters even more confusing: Maytag guides say follow range hood instructions for clearance directly above the range; yet GE for a very basic 8 or 9k open burner model requires a minimum 24" above the cooktop if a range hood is installed. OK. I've found a few Broan range hoods that specify installation 18-24 in. above the cooktop for optimal performance. So which guide does one follow?

It's a KitchenAid ArchitectII freestanding range. You are right, one model says 4" another says 5", and it doesn't look like it has that much.

But it's not a real kitchen: the cabinets aren't connected at the corners and cabinets off to the right don't even have hardware. Its just a stage set to show its general appearance.

How strange that a vent company would stage it that way, tho! Or accept the presentation for their ad. Maybe it's a attention grabber meant to boost fire anxiety...