Based on Feng Shui, is it better for door handles to be round or pointed?

Of course it is rounder and more appropriate.

It’s so sharp that it can be uncomfortable if you accidentally prick it.

It’s not a matter of Feng Shui or not. The door handle has little to do with Feng Shui.

The round shape is unlikely to have any adverse effects. Objects with sharp corners often have certain adverse effects, but if the handle is too high, it is not likely to have an impact.