Earlier quoted context omitted.
Ok. I guess verb tense falls short in this case. :-)
It does, but that's also the point. The past is fixed in this model. If you go back in time, that's not new. You always did that. How the present looks now is a function of you having always done that. We know that you didn't shoot yourself, because you didn't.
1. Time machine backwards
2. Shoot themselves
3. Time machine forwards
And that’s how they would have experienced it. The whole premise seems to be that this is allowed:
1. Time machine backwards
2. (do something)
3. Time machine forwards
Of course step 2 always happened since it’s the past. And yet they shot themselves. But they couldn’t shoot themself and exist now as well. And that’s the paradox.
Two choices at this point:
1. You can’t really do anything in step 2. In which case time travel is impotent, and hence why even dignify calling it time travel at all?
2. You have some potency in step 2, but you can’t do things that lead to paradoxes. But then how would you handle those special cases?
Just stating that “the past is fixed” doesn’t solve the paradox, it restates one of the premises.