Without knowing more about the details of the spec and of real world implementations [0], I'll boldly claim that the O(1) is the precise problem why this is a weird data structure (I never needed or expected that sort of constraint). It is not a chunk list, like many (including me) seem to have assumed.
I don't even have performance problems measured with this, also given that my std::deque is not currently in production, it is used as a simple streaming queue that only has a couple megabytes/second of bandwidth requirements, and it is not being built with MSVC (so chunks are going to be 512 or 4096 bytes). But it is a latent problem.
[0] Btw. I don't want to know the messy details of this right now, I need simple not complex. I've learned not to add more complexity in a futile attempt to fix things that are fundamentally broken. What use case is this going to be solved by std::deque, name me one such use case and tell me with a straight face that it's not a completely made up case or a super niche case that would likely also be better served by a different approach.
Or take it from someone else if you would, is Chandler Carruth high-profile enough and free enough of conflict of interest to be credible for saying that std::deque is dumb? https://news.ycombinator.com/item?id=22962980