Yup, ground clearance is the achilles heel - plus the weight, obviously going to stop you from doing log-overs and flinging it into skinny off-camber sections. But, within reason, the DL1k is very capable. I've taken mine and the 650 into some pretty hairy offroad and it does the job.
It's a different animal tho, you have to treat it more like a fat horse that you point and trust it to go...no sticking legs out once it starts to tip, and pivot turns ain't happening, so things like line selection and momentum are super important.
Most everyone I see that has a hard time on the big bikes offroad are scared of the weight/drops and ride too timid...the millisecond it starts losing traction or the front starts to go they chop the throttle, try to save it, presto! Dirt nap!
Good tires, trusting your bike, and letting it do the work is super important with a liter bike in the dirt.
Plus, you gotta make a deal with yourself that if you commit to riding a big piggie offroad that you're going to break stuff, maybe expensive stuff. It's fait accompli, so if you're gonna cry when the side panels get gouged and have it ruin your ride better just buy a different bike for that stuff.
Get the engine bars, skid plate, extra shift lever, barkbusters & aluminum handlebars.