I run both Warre and HTB hives, they both have their advantages.
Yes, Warre aren't easy to extract, but for me the point isn't easy or maximum honey extraction, but happy healthy bees. So far I've never lost my Warre colony, and it's been running for five years now. I get about a gallon of honey each harvest. The HTBs are easier to run, IF you can get them building comb the right way. It's far easier for them to cross comb in a HTB, unless you work it often. I'm more of a 'leave the bees to be bees' school of keeping. I lost my HTB last year, and one the year before. They tend to eat themselves into a corner and starve, even though there's still pounds and pounds of honey left. I'm not really a fan of HTBs any more...
I also have an Austrian style log hive I built, that I'm hoping to house a swarm in this year. We'll see how that goes...