You’re assuming no other data structure points to the element. It may. Example: implement a cache.
Each element is: key, value, linked list node for hash table bucket, linked list node for LRU. Hash table to look up element. Element is both a member of hash table and of linked list. Linked list is used as LRU for feeling memory when needed.
LRU never traversed but often needs removal and reinsertion.
Linked lists are perfect for inserting/deleting nodes, as long as you never need to traverse the list or access any specific node.