The short answer: I like both, I carry both, they both have their strengths and weaknesses, they both will cut, and a combination of the two makes for a superb duo.
The longer answer:
I've found that my carry needs and interests over the years have largely been dependent on what my day to day job has been. When I worked in cable, I used and carried a large modern folder, an old school Cold Steel Recon with the Axis style lock. I used that knife relentlessly and hard. It stripped mainline coax, it dug around pedestals, it smashed wasp nests, it turned screws when I forgot to bring a flathead up with me on the ladder or cherry picker. It was tough and I put it through hell, not something I would expect a more traditional folder to really hold up to.
When I worked for my local Sheriff's Office as a reserve deputy, I carried that same Cold Steel until I upgraded to a ZT. In law enforcement, knives can get beat up and I wanted one that would hold up to rigorous use. Again, not something I would expect a traditional folder to hold up to.
Anytime I am doing hard work, I want a modern folder with tough steel, a dependable lock, and solid construction.
Nowadays, I sit/stand at a desk writing code. It is safe to say that my cutting needs are few and far between, despite creating tasks for such (package/letter cutting, food prep, general fidgeting). I have found that my interests have largely evolved into using and collecting more traditional folders. They are easy on the pocket, look pretty on my desk, and meet my rather menial cutting tasks on a fairly regular basis. That being said, anytime I know I am going to be be working on my trucks, helping a buddy with a remodel, or engaging in some other laborious endeavor, a modern folder is always with me.
Since I spend a lot of time out of doors in my free time, I usually have one or more of the following: fixed blade, modern folder, multitool, slipjoint. I am a firm believer in having the right tool for the job so I generally have more than one might think I need but since I have the means and ability to carry such things, why the hell not? Redundancy can be beneficial.
Picture because all threads are better with pics....