I think it would be clear that the picture was drawn for the person - I imagine most people would explicitly say something like "I drew this for you" in the accompanying message. And I don't know what kind of kids you've been hanging around, but my daughter would definitely appreciate a story that I spent some time thinking up rather than "here's something ChatGPT came up with". I guess that assumes you're not going to lie to kids about the AI-generated being yours, but that's another issue entirely.
You go into "HOW" you write a poem for your daughter? are you also explaining and rubbing in how hard you work to get her food on the table? Like wow, the amount of people here that want their "effort" calculated into the "love" cost of something is insane.
I was brought up that the thought matters, if i think to call my mom she appreciates it i don't need to make some excess effort to show her i love her or show her more love.
You read your daughter a book off your phone you got for free, is that somehow worth less than a book you went to barnes and noble and paid full price for?
With my original bedtime story example, I was actually thinking about the kind of story you make up on the spot. Like the topic request comes at bedtime, and maybe the child even has feedback on how the story should go as you're making it up. The alternative of the parent quickly asking ChatGPT on their phone for a story on the selected topic just seems not as fun and meaningful.
I guess in Apple's example it looks like they're writing it as a document on MacOS, so I suppose they are writing it ahead of time.
This is because there actually is a calculation that people do between "effort" and "love" (it's not some 1:1 ratio and you can't calculate it, it's real). At least for the vast, vast majority of people with functional interpersonal skills...
It's the difference between calling your mom and just saying "Hi mom, this is me thinking to call you. bye." vs calling her with a prepared thing to say/ask about that you had to take extra time to think about before calling. Effort went into that. You don't need to tell her "HOW" you came up with what you wanted to talk about, but there is a difference in how your call will be received as a result.
If you really believe that sending a text versus a hand written card will have no difference on how the message is interpreted, you should just know that you are in the minority.