I think it’s important for MILD as MILD works because you are remembering to do something in the future, recognise that you’re dreaming in this case. Which is why it’s called Mnemonic Induction of Lucid Dreams:
Main Entry: 1mne·mon·ic
1 : assisting or intended to assist memory; also : of or relating to mnemonics
2 : of or relating to memory —mne·mon·i·cal·ly /-i-k(&-)lE/ adverb
Main Entry: 2mnemonic
: a mnemonic device or code
The act of telling yourself to remember to recognise that you’re dreaming and visualising it happening is the mnemonic device intended to assist the memory.
So yeah, I think prospective memory is quite important because if we can’t remember to do something later in the day, we probably won’t remember to do it in a dream!
I suck at prospective memory too
MILD is very effective for some people, and not for others, like anything really.