Chrome is working on a way to this [1]. However, it's not done yet, and it needs to be be turned into a real standard. It's also not likely to work well for asm/wasm as-is.
New standards are important but we also need to properly implement the standards we already have. Sourcemaps have been around for years but they're not fully implemented by most browsers that claim to support it. (Firefox sourcemaps didn't work well when I tried it in January, though some bugs have been fixed since then.) I think someone needs to write something like the Acid tests [2] for browser debuggers.
[1] https://docs.google.com/document/d/1FTascZXT9cxfetuPRT2eXPQK...