Well as for me, again I don't really mind those soft power buttons. As long as they are implemented correctly (which granted is not always the case).
Granted, but my question is: What value do they ADD that justifies their complexity, cost,
Well, as for the "value", I think we already covered that. Additionally, they add a more "modern" look and feel. You are of course entitled to personally find those values are of no value to you.
As I said earlier though, I think you're mistaken in thinking they add complexity and cost. In many cases, in modern equipment, I'd say they are pretty cheap to add, and that they are actually much simpler overall than having to deal with proper handling of sudden power-on and power-off, not just for the graceful shutdown cases, but also any time a specific power supply sequencing is required, and other reasons. Anything that is less expensive/or more flexible to deal with in software than purely in hardware.
Depending on the implementation, upon soft shutdown, they can do as little as putting the whole instrument in a "sleep" mode (thus not necessarily shutting down the main power supplies but merely shutting down everything that was already meant to be enabled/disabled by software and then put the display(s) and CPU(s) to sleep as well. They can additionally partially shut the main power supplies down (usually only partially). This last thing doesn't cost anything much either these days. Many DC/DC power modules used in those instruments already contain control signals to shut the PS down (as with computer PSUs), so the cost is practically nothing.
and the added downside of often being implemented INcorrectly?
Well, this is a good point. But a "hard" power switch can be implemented incorrectly in many ways as well due to reasons exposed before...
Again, I think most manufacturers will favor this solution for several reasons, but the main one being that everything that depends more on software than hardware is considered much more flexible and much easier to fix if there are bugs, so in that respect, that's more of a comfortable option for the manufacturer than for the user.
I personally don't mind much, but I think there should be some sense of proportion when designing a lab instrument. Whereas I expect a modern scope to be much like a dedicated computer, thus I expect it to function much like one (except I still expect it to boot faster than a typical computer!), for a simple lab power supply, I would find that silly.
Now when a manufacturer has a whole range of instruments, that still makes sense to use a common OS, for instance, and common subsystems in all of them when possible. So again what's a benefit for the manufacturer is not necessarily a direct benefit for the users.