Protocol handlers should be able to register a service worker.

content/browser/service_worker/service_worker_request_handler.cc

Index: content/browser/service_worker/service_worker_request_handler.cc
diff --git a/content/browser/service_worker/service_worker_request_handler.cc b/content/browser/service_worker/service_worker_request_handler.cc
index 6d7d04b2e0a1b99a9101916faee3f4dd1612a9fb..2702e62b5fc5ee9bda37a9037d2a5349f80aa450 100644
--- a/content/browser/service_worker/service_worker_request_handler.cc
+++ b/content/browser/service_worker/service_worker_request_handler.cc
@@ -11,9 +11,11 @@
 #include "content/browser/service_worker/service_worker_provider_host.h"
 #include "content/browser/service_worker/service_worker_registration.h"
 #include "content/browser/service_worker/service_worker_url_request_job.h"
+#include "content/browser/storage_partition_impl.h"
 #include "content/common/resource_request_body.h"
 #include "content/common/service_worker/service_worker_types.h"
 #include "content/common/service_worker/service_worker_utils.h"
+#include "content/public/browser/content_browser_client.h"
 #include "content/public/browser/resource_context.h"
 #include "content/public/common/origin_util.h"
 #include "net/base/net_util.h"
@@ -65,10 +67,19 @@ void ServiceWorkerRequestHandler::InitializeHandler(
     RequestContextType request_context_type,
     RequestContextFrameType frame_type,
     scoped_refptr<ResourceRequestBody> body) {
+  BrowserContext* browser_context =
+      context_wrapper->storage_partition()
+          ? context_wrapper->storage_partition()->browser_context()
+          : nullptr;
+
   // Create the handler even for insecure HTTP since it's used in the
   // case of redirect to HTTPS.
   if (!request->url().SchemeIsHTTPOrHTTPS() &&
-      !OriginCanAccessServiceWorkers(request->url())) {
+      !OriginCanAccessServiceWorkers(request->url()) &&
+      !GetContentClient()
+           ->browser()
+           ->GetHandlerFor(browser_context, request->url())
+           .SchemeIsHTTPOrHTTPS()) {
     return;
   }