At least in Chrome, WASM is actually jitted and "tiered" on function level. Not sure how relevant this post still is, but AFAIK if anything changed then that the number of tiers has increased rather than decreased:

https://v8.dev/docs/wasm-compilation-pipeline

This may actually introduce visible "warmup-stutter" in rendering applications which is very unfortunate, but AFAIK the tiering was introduced to accommodate massive WASM blobs such as created by Unity which otherwise might take tens of seconds to AOT-compile.