And thus spoke someone who has never built a REST API, never used curl -I, and probably hasn't used anything other than a web browser to access HTTP content.
Sure, for the most part, we're all kinda new to REST, and we're slowly learning to construct good REST architecture. Sure, there's some redundant weird shit like SPACEJUMP. But we should aim to improve education and encouragement of the use of verbs such as PUT and DELETE, rather than abandon best practice because "no-one's going to use it" or YAGNI, when we can clearly see in talk after expert talk that these are the practices that are being recommended and already put to good use.
Not to mention the plethora of proxies, web servers, and tools that already support these accepted, recognised, standards-defined techniques.