The situation is this:
A Genie Warlock comes up with an elaborate scheme relying on multiple uses of his Mystic Arcanum; Wish. They know that this can be only cast once a day, but the wizard gave them a hint that just might double their efforts... Wishing for a simulacrum!!!
The simulacrum spell states: (emphasis my own)
The simulacrum lacks the ability to learn or become more powerful, so it never increases its level or other abilities, nor can it regain expended spell slots.
While the Mystic Arcanum states: (emphasis my own)
You can cast your arcanum spell once without expending a spell slot. You must finish a long rest before you can do so again.
And, for lesser wishes, the Limited Wish feature states: (emphasis my own)
You entreat your patron to grant you a small wish. As an action, you can speak your desire to your Genie's Vessel, requesting the effect of one spell that is 6th level or lower and has a casting time of 1 action. The spell can be from any class's spell list, and you don't need to meet the requirements in that spell, including costly components; the spell simply takes effect as part of this action.
Once you use this feature, you can't use it again until you finish 1d4 long rests.
Does this mean that the Simulacrum will also regain the use of Limited Wish and the Mystic Arcanum as well, given that they don't require spell slots? If so, what is to stop a Simulacrum from wishing for a simulacrum?