Pinching when bevel vertex

When I bevel a vertex and set the resolution up high so it’s really smooth, I get some pinching at the corners. Or maybe it’s more accurate to say that at those 3 corners the geometry goes in a little. Look at this picture and with the really reflective matcaps you can see a white highlight where it dips in.

Is there a way to not have this happen? I tried fiddling with the settings and nothing really helps.

Increase profile shape to .7, if you turn on wireframe to you can see better what happens.

that definitely helps but it changes the profile too much. I really like how the profile looks like at .5

Afaik there is no way then to do this easy with bevel only. Maybe someone other knows a solution for this?