Wooden pencils are available in softer cores that have a very different feel from mechanical pencil leads. A 0.7mm 2B or 4B lead will break easily, so they're polymer-infused, and will feel very different (slippery?) compared a regular 4B graphite + clay core.

2mm mechanical pencils are more versatile that way, but also generally heavier, unless it's something like a Faber-Castell TK9400 or Kitaboshi Otona no Enpitsu.