While I do not have a major preference between the two, I like being able to put my pencil in my pocket easily. I'll take mechanical pencils despite their tendency to break more easily (at least from my experience).
I prefer wooden pencils, because most of what I use pencils for is drawing, and I feel like wooden pencils are more versatile when it comes to art. I can use them for shading, the lines are thicker (which suits my drawing style better), and I just like them, even if I have to sharpen them.
Oh boy, do I have something to tell. I VASTLY prefer wooden pencils for many reasons. 1. It feels waaaay better in my hands. 2. Erasers are much, much more reliable 3. YOU CAN'T ACCIDENTLY JAM A PIECE OF GRAPHITE INTO SOMEONE'S ARM WHEN YOU RUN IN THE HALLS OF SCHOOL AND LEAVE IT THERE. 4. Much cheaper in the long run 5. Reliable 6. My special pencil grips works for them (I struggle holding a pencil correctly without it hurting my hand after a while using it) 7. The weight is what I'm used it 8. I'm a sensory person. I learned using wooden pencils in freaking OT and PT! It's freaking easier to use than mechaical! ...there, I said my piece. NEVER TELL ME OTHERWISE BECAUSE THIS IS WHY I VASTLY PREFER NORMAL 2H PENCILS>
As a bloke who never stopped using wooden pencils for literally everything (notes, quizzes, homeworks, etc.) mine answer should be quite obvious~
I've almost always used wooden pencils so those are superior for me. Mechanical ones are good too but it doesn't feel the same, ya know what I mean?
To me, mechanical pencils and their tiny little leads break way too easily. Also, the leads are much less controllable - if they all fall out the container and onto carpet, good luck finding them ever again. Wooden pencils don't have that issue as far as I know, although I suppose they get lost far more easily (for reasons still yet unknown).
As fragile as mechanical pencils are I prefer the stable grip and replaceable graphite. Plus I don’t have to deal with those pesky pencil shavings.