If it seems like I'm making fun of the BBC Sherlock in this comic, I apologize but the jokes are right there in their differences. I do feel that Joan tends to get slightly more respect than John in the partner dynamic tho.
Have seen some your comics when I first started watching Elementary, was taking another look today, love them. I have never seen Sherlock D: (since I have never read the books I guess I don't have to care for accuracy yay 8D ) Mostly cause I don't get it on my cable plan, and also a little cause of the hype (I also dislike Dr. Who *LE GASP*). Not that I don't want to see it. I love how Miller's Sherlock shows he cares for Joan and a few other people, although still being stubborn "I'm never gonna be nice", and he's haaaaaaaaaawt hahah with his hairy tattoed body and physical mannerisms, yet Cumberlock does nothing for me physically. BBC Sherlock's panels in this one are funnier though, I wonder if he's as dramatic as he seems, and well I enjoy Martin Freeman in general. It's weird but I did kinda compare Holmes to Dr. House since House was so inspired by him (which would make Wilson my favorite Watson in a way). Miller's Sherlock is actually (for my surprise) NICER than House ever was, which I'm thankful for cause after 6 seasons of House I couldn't stand him. Though I thought he did the depressed antisocial addict thing terrifically (I identified with his depression a lot).
So true, as much as I love BBC Sherlock I did felt most of humour came from Sherlock insulting everyone including John who often just gets angry a bit and give up.
In Elementary, Sherlock insults someone and very likely Joan will say something back, and his bad decisions do indeed get him consequences (ie. getting punched or losing a partnership with a good detective)