Bevel (modifier) each individual vertex Is there a way (addon or similiar) to bevel vertices individually. The Bevel modifier clamps all vertices the same, I would like it to clamp each vertex individually.

This is the behaviour I would like to have.



This is the current behaviour. (The position of the edge loop on the left change the bevel on the right edge.) How can I avoid that?





Trying to word it better:
How do I avoid dense geometry limiting the amount of bevel on all parts of the model?

I would try other non-destructive methods except the bevel modifier as well.
You mention bevel per vertex but then you proceed to illustrate beveling per edge.
Not sure what you really want to achieve, sounds like what Bevel Weights are for.
Add a Bevel Modifier to your mesh object, for ease of mental calculations set its Bevel width to $1.0$, then proceed to turn off Clamping and set the Limit Method to Weight.
Then in Edit Mode on your mesh, select desired edges and press Ctrl+E Edges &gt; Edge Bevel Weight to control the bevel width on a per-edge basis.
Edge weight acts a multiplication factor over the bevel distance, if you set bevel distance to a round number like $1.0$ it will facilitate adjustment. If now want a bevel of $0.5$ units just set the weight to $0.5$, if you want a bevel of $1$, $2$ or $3.7$ just set the weight to $1.0$, $2.0$ or $3.7$ respectively.