But anyway ...
Given that we already have things like Cardinal (a FLOSSier version of VCV Rack) running directly in the browser, I expect that a wasm port of an open source DAW will likely occur within a few years. Whether that would be a good thing is a different question. Browser audio is absolutely not the ideal platform for pro-audio (if indeed it is even possible to get the required performance at all), but for "bedroom producers" and podcasters, it might be sufficient.
The problem is that many (not all, but most) DAWs are built on native toolkits (in-house or 3rd party) that assume access to a very large operating system API. Although wasm/browser-land keeps expanding, it is still quite a long way from covering all the things that the (e.g. 86) libraries relied by on a typical native DAW require from the host environment.