In my experience, mechanical pencil tips broke too easily. I've had cheap wooden pencils where it felt that the let was shattered inside which meant the sharpened tip kept falling out. That's how I felt about pretty much every mechanical pencil.
About a decade ago I bought a metal mechanical pencil (rotring 800, 0.5mm). Best pencil I’ve ever owned. It will last so long I’ll leave it to my children.
The main thing that helps with lead breakage is a mechanical pencil with a sliding nose cone/tip. Even finer lead becomes fairly reliable as long as it is protected against sideways pressure. My personal favorite is the Kuru Toga Advance 0.3mm, though a larger lead size and a model purpose-built for break-resistance would be better if tip breakage is the main concern.