A surprisingly number of times the answer is "No, I would not only not turn it on, I would also not miss it".
One example of this is Photoshop. The single biggest differentiator between a Photoshop bad-ass and a noob is a deep understanding and copious use of layers. Because of this, Photoshop tries to ram layers down your throat at every opportunity, and that is the correct thing to do in my opinion. When I first upgraded to the version of Photoshop that went all-in on layers, it infuriated me because I felt like I had to do more work to achieve my goals; now I get infuriated when I try to use an image manipulation program without rich layering functionality.
Instead they cram layers down your throat which does work, but it's still a compromise.
In the scenarios above, both Photoshop and Dell are wrong, but they're in a market position to get away with being crappy to the user.
I used to plug my notebook to a big monitor on the side, and then I'd switch some things to one or the other. For example, the "external" monitor had better colour rendition, and so it was the prime candidato for photo-editing, while the "internal" monitor was usually closer to me, and better suited for reading, or opening terminals.
Would this kind of use trigger your "bug" and make the DELL monitor turn off? Can you think any use case where the feature works well? Some were asking in roder to avoid said beast in future/near purchases, and while you do have a point, if the use case works well for the user then this feature wouldn't be a deal breaker (and for other use cases, like yours, it defintely is).
There is a maturity problem in our industry. As in, the developers and product managers are a bit on the emotionally immature side, and have less ability to put themselves in an other person's shoes, when that other person has different goals.
I also use the Netflix streaming service with a Roku. As part of their ongoing campaign to convince me this is a mistake, the Netflix app auto updates itself from time to time.
This feature shuts off the screen without the user asking for it to shut off. What could possibly go wrong?
Case in point: I recently bought an excellent large(ish) Dell monitor. Lovely bit of kit, but after a few days had me wanting to throw it out of the window. The reason was the power saving mode. The monitor is supposed to have the ability to "intelligently" understand you are not using it, switch the screen off and go into a sleep mode. All good and well until one discovers that the specific combination of graphics card, multiple monitor setup and video connectors one is using confuses the poor beast and it will happily shut your monitor down while you are actively using it.
The kicker that was driving me crazy was, of course, there is no way to disable this particular functionality!