I've never gotten greenie aggro in the Warrens even since TLC was still in effect there. It's where I level all my newbies. The only time I get attacked by greens is due to low hitpoint frenzy or having a low level pet who social aggro's them while in combat.
The only aggro greens in the zone are the various named. As noted, the only one you have to pass within aggro range of to get to SBM is the Batlord.
The only thing I really find silly about it is that Gunthak is so freaking easy to get to but people have been using "difficult travel" as their reason for not going since release. A stone would make so much more sense in Katta, Western Wastes, Highkeep, etc. I'm not saying those places "should" have one, but they're more remote from a PoK point of view. Heck, I can't even think of a place in Kunark that needs one.