My suspicion regarding any contradictions from time travel is: All contradictions do get resolved ("nature abhors a contradiction", to coin a phrase), but the annihilation of the contradiction gets played out at the same speed at which the original timeline got "written". So, the time traveler would never see the consequences of the contradiction. I'd simply live out my life in the past, free to change history as I saw fit.
I agree with you, incidentally. I also use the phrase "history is inertial" to describe the non result of meddling in the past. Since any change produces a new timeline, the timeline which one came from would not be altered, there just would be another timeline created from the change point onward.
What I still haven't got worked out conceptually is how one actually could return to the start point again. Given that any visitation constitutes change (Shroedlinger's Cat) then, time travel, while possible in theory, is a one way trip to an uncertain destination, unless one develops a way to physically measure displacement between timelines and correct for same, somewhat like an inertial guidance system, though what one would use for a stable platform reference is not clear to me at this point (Yes, my experience is in aerospace engineering, if you haven't figured that out LOL) . What is also not clear is how one returns. If one wobbles into the past, one wobbles even more quickly forward into an increasingly complex series of timelines, without a power source yet ;-) (Said power source according to this article is fixed in time and space).
Greg