Crawlers well the tracks are the outriggers as everyone Knows..but a truck crane needs the outriggers because you cant truck 18-25 feet what ever down the road ..the suspension ..old rubber block ,leaf spring and so on could easily be chocked...but you will get to wide.
the outriggers serve the purpose of ,getting a wider stance,leveling the crane, most important in that to is that they get the whole carrier of the ground because ..the tire's ,axles ,engine transmission can be deemed counter weight.. ..for max picks on a truck mount i also like a full fuel tank in the carrier....
the biggest reason for getting the carrier clear of the ground when on outrigger's is your axle(s) become the fulcrum point ..instead of the outrigger jack and pad..
try it some time ..you'll feel the and see the difference..
And yes ..the center of gravity off a machine makes a huge difference ..but ..if you weight both machines as they sit ...you'll well find the crawler is a heavier machine than the truck mount ..hence the longer outrigger stance..
Grove made a 22T crawler with a hydraulic boom ...the one i had .,had rubber tracks ..with tracks retracted the machine had no chart ..or hoisting capability... the same crane with the steel track arrangement had a chart for retracted tracks.
that's why you probably have a longer outrigger stance on the K12 truck mount ...huge difference in weight with out the tracks