I'd imagine its very much like an SG with that body thickness; or rather 'thinness'.
Dunno, I think the maple top and LP neck joint will make a difference. And most of the ones I've seen listed on eBay weigh 8 lbs+ despite the thin body, compared with an average SG at 6-7 lbs.
If I ever do decide to order a custom Feline Lion, it'll be along the lines of the Custom Lite - thinner body, belly cut on the back, ebony board. Not necessarily the standard LP body woods or control layout, though.