The problem is that space ships and aliens (and clones) do make SF. That's why they're sometimes tacked on to otherwise unmarketable stuff.
The question is, did this straight up and down 'I don't want to become my mother' story need an SF veneer?
I don't think that it did. If anything that cloning angle detracted from it. As somebody else said, it was the gun on the mantlepiece that was never used.
BTW, apologies if my criticism of the story itself was a bit pugnacious. It was well written, it just wasn't very Escape Artisty.