Revert "Fix ETW Sink Initialize unproperly locking" (#21360)
Reverts microsoft/onnxruntime#21226
Causes any onnxruntime app to hang on Windows ARM64. Our pipelines do
not have the same ETW environment, so we couldn't catch it.

The call to TraceLoggingRegisterEx() recursively calls back into
LazyInitialize():
LazyInitialize() -> TraceLoggingRegisterEx() ->
ORT_TL_EtwEnableCallback() -> Instance() -> LazyInitialize()
The original code got out of the recursive loop by checking the
`initialized_` flag.