now that I've had my morning coffee, I just realized I missed the important "Web" part in the title -- I was going to say there are long-term plans to export a patch to something like a UE4 blueprint system (which wouldn't be impossible, but would take quite some work)
a web game audio middleware (or rather, library) is considerably easier, and is a great idea to pursue
how do you imagine it working?
i.e. would something like creating a project, and then loading it through a library API work? you would have special "parameter" Nodes in your project, which were exposed through this API, very roughly something like:
let inst = new AudioNodesEngine("https://url.to/project.nodes")