The fix for #57216 is aimed handle invalid context paths, such as "/".
When using Tomcat.addWebapp() the (wrong) name for the context is
already set in Line 534.

    public Context addWebapp(Host host, String url, String path) {
        return addWebapp(host, url, url, path);
    }
			
    public Context addWebapp(Host host, String url, String name, String path) {
        silence(host, url);
        Context ctx = createContext(host, url);
        ctx.setName(name);
        ctx.setPath(url);
        ctx.setDocBase(path);
...

Therefore StandardContext.setPath()#2198 does not set the corrected name for the
context.

This causes JNDI to fail, i.e. in JSPCompilationContext.getLastModified()#410 and
#421.

if(invalid) should also include setting the new corrected name.
Or fail hard - that would have made it easier to find.

Best regards,
Christian