tests: improve manifest upload check

Manifests of all partitions are now checked so that in case something
goes wrong, it will be possible to see if there is any progress at all.

Timeout for the check is made adaptive to the number of partitions.

tests/rptest/services/redpanda.py

@@ -3686,6 +3686,7 @@ def stop_and_scrub_object_storage(self, run_timeout=60):
         # can be set to None for no timeout
 
         def all_partitions_uploaded_manifest():
+            manifest_not_uploaded = []
             for p in self.partitions():
                 try:
                     status = self._admin.get_partition_cloud_storage_status(
@@ -3705,17 +3706,23 @@ def all_partitions_uploaded_manifest():
                     "metadata_update_pending"] is False or status.get(
                         'ms_since_last_manifest_upload', None) is not None
                 if remote_write and not has_uploaded_manifest:
-                    self.logger.info(f"Partition {p} hasn't yet uploaded")
-                    return False
+                    manifest_not_uploaded.append(p)
+
+            if len(manifest_not_uploaded) != 0:
+                self.logger.info(
+                    f"Partitions that haven't yet uploaded: {manifest_not_uploaded}"
+                )
+                return False
 
             return True
 
         # If any nodes are up, then we expect to be able to talk to the cluster and
         # check tiered storage status to wait for uploads to complete.
         if self._started:
             # Aggressive retry because almost always this should already be done
+            # Each 1000 partititions add 30s of timeout
             wait_until(all_partitions_uploaded_manifest,
-                       timeout_sec=30,
+                       timeout_sec=30 + len(self.partitions()) // 33,
                        backoff_sec=1)
 
         # We stop because the scrubbing routine would otherwise interpret