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RE: Meet My 10 Time Travelling Death Defying Dinner Guests
Effecting things on your own timeline, is too troublesome; then you get a Back To The Future situation. Whereby Marty McFly decides to come back 10 minutes early to save Doc.
However he then sees a past version of himself go into the past, and then presumably do all the things he did, to then come back again 10 minutes early to save Doc and see a version of himself do the whole thing again.
So we have to think about causal loops as well as paradoxes! :-D
Cg
I like the Back To The Future reference. In that scenario, it still posits that everything that has happened still happened, as the time traveler would always wind up "resetting" what he did by going back to before he did everything. It feels a bit timey-wimey at first, but when you step back to look at it, it really simplifies things. Everything still happened, it's just that he went back to prevent everything so that for other it would feel it never came to pass. But, it always happened because he remembered it happening.