storageClass name template as suggested by @eyeofthefrog

roles/kubernetes-apps/local_volume_provisioner/templates/configmap.yml.j2

@@ -7,7 +7,7 @@ metadata:
   name: local-volume-config
   namespace: {{ system_namespace }}
 data:
-  "local-storage": |
+  "{{ local_volume_storage_class }}": |
     {
       "hostDir": "{{ local_volume_base_dir }}",
       "mountDir": "{{ local_volume_mount_dir }}"

roles/kubespray-defaults/defaults/main.yaml

@@ -170,6 +170,7 @@ persistent_volumes_enabled: false
 # Base path for local volume provisioner addon
 local_volume_base_dir: /mnt/disks
 local_volume_mount_dir: /local-disks
+local_volume_storage_class: local-storage
 
 ## When OpenStack is used, Cinder version can be explicitly specified if autodetection fails (Fixed in 1.9: https://github.com/kubernetes/kubernetes/issues/50461)
 # openstack_blockstorage_version: "v1/v2/auto (default)"