Not always.
Yes always. To paraphrase Feynmann: What you did not create, you have not understood.
Prototyping can be valuable in many circumstances when you don’t know the shape you’d like the code to take.
Yes
Sometimes you need to try something before you know if it’s right.
Yes
I’d rather throw away prototype code written by an LLM than code I had to write the hard way.
No.
If you consider writing your own code "the hard way", then your goal should be becoming better at prototyping yourself. It's a skill that you need to requires purposeful effort to strengthen. But once you have it, you get both the understanding behind the code and the prototype.