Not really, aside from smaller binary size parsing a binary bytecode vs parsinga a JS pseudo bytecode is a huge difference in load time + they get to optimize it for efficient translation vs trying to hack JS constructs to get desired semantics and then trying to recognize those in the JIT

Asm.js is a hack made with ducktape and chewing gum, wasm is a solution designed/engineered to solve the general problem - not just smaller asm.js