I've never experienced a situation where a software design document meaningfully improved the overall process. At best, it helps to keep the business in sync at the expense of a much longer delivery timetable. Even high level software delivery contracts never seem to stay on rails for very long. It is often faster to just build the damn thing and see where it lands. Software is not like a nuclear power plant or offsh…
Software is in nuclear plants, cars, oil platforms, pacemakers, everywhere. If one is writing more ‘disposable’ stuff like flashlight apps for smartphones, then sure, as you say. Others are writing serious stuff, and design docs are invaluable.
For starters you're going to have traceability requirements that can only be satisfied if you have a product requirements document and then often a software design document. Now you might well choose to manage all of that in JIRA and Confluence (or whatever) rather than sitting down and writing an actual document intended to be laid out and printed on paper but the fact remains the documentation exists and, indeed, is a must to satisfy compliance and regulatory frameworks.
As always, the domain you're working in and the organisation you're working for make a huge difference but, as much as there are plenty of places where none of this stuff matters at all, there are also plenty of places where it's incredibly important and that isn't going to change anytime soon.