Mozilla's WebGL CI tests for Linux and Android run on Mesa's software renderer, though I'm not sure if we use LLVMPipe specifically. It works...ok.
I don't think there are specific results that are useful to anyone but us, other than that Mesa is viable for these sorts of things. We don't have a centralized tracking list for Mesa issues.
Like usual, if you try running WebGL on Mesa and run into unfixed issues, file a bug and we'll fix it.