Lerpa is two pieces under two licences, and almost everybody only ever touches the free half. This page exists so you can settle it in a minute instead of emailing a stranger about it.
The dividing line is the runtime, not the pictures. If your users download
player.js as part of a closed-source app, you need a licence.
If they download a .lerpa and something else draws it — or
nothing does, because it is a valid SVG and the browser just shows it —
you do not.
Section 13 requires that anyone interacting with the software over a network can obtain the complete source of your version. For most commercial products that means publishing code you would rather keep private. A commercial licence removes that condition and nothing else.
It links against Blender's Python API, so it is GPL and permanently will be. A copy you receive is yours to redistribute. The commercial licence is not about the add-on; it exists for the runtime.
The author owns the whole copyright, which is what makes two sets of terms possible on one codebase. Buying a licence funds the work.
Still unsure whether you need one? Say what you are building to abbasalshalchi@gmail.com and you will get a straight answer, including “you don't”.