Not sure about the current models, but the Les Paul Traditionals get the chunky 50's D profile. My 2012 has it. Interestingly, it is marginally thinner across the nut than my SG's slim 60's neck (luckily, I can go from a large to small neck without a problem). To find out which, if any current models have the 50's D profile you'd probably be best to shoot Gibson an email asking, rather than search. Cheers