Saying that one cannot access one’s texts on an iPhone is quite the hyperbole. It would be a bit of a hassle, sure, to locate a text on a specific day if one had many messages in the thread since then. One may have to scroll for quite sometime. I wouldn’t call that blocking access. One can always search for the text based on its content. If one transfers one’s data to one’s new phone, all the texts would transfer as well. So they aren’t deleted by any means, unless one deletes them oneself or gets rid of one’s old device without transferring them.
Batch exporting text messages is an wholly different thing from simply accessing them. The only confusion about the meaning of the word “access” seems to be on your end. You appear to intend it to mean something like “having all the features that I personally want in order to best facilitate the activities I desire to do with the highest priority, disregarding the popular use cases entirely” which frankly is an insane definition of the word “access”, and deserves probably a much harsher tone than it’s been given thus far. The fact that you still appear to be standing by it as a serious definition is even more shocking.