Currently, when opening any gallery example in JupyterLite, it loads with a different version of skimage than the one used in the docs. This means that some examples won't run. The problem will get worse in the future, as APIs change.
We can now build web assembly / pyodide wheels for skimage, so the most obvious solution is to ship an skimage pyodide wheel along with the static docs deployment.
@lesteve has outlined some of these issues in #6911 (comment). They also have a working pyodide build in pyodide/pyodide#3874