AudioWorklet is doing something similar[1] by overriding the AudioWorkletObjectProxy::DidEvaluateModuleScript hook. AnimationWorklet current doesn't an ObjectProxy but it is easy to add one. Once it's done, we don't need to sync the each of the names per registration which is inefficient.

[1] https://cs.chromium.org/chromium/src/third_party/blink/renderer/modules/webaudio/audio_worklet_object_proxy.cc?type=cs&sq=package:chromium&g=0&l=39