Collector would probably do the same
(Your parents, his didn't die)
However he'd reconsider the moment he goes back because changing main parts of the timeline goes against laws of time travel
Meaning now the time police are gonna be chasing him
So instead he'd make it easier for main events to happen, such as switch hood helping you escape the octerians
And the collector wouldn't have to deal with a nexus point (an event that has to happen that only beings that have mastered time can change) however you can only find a nexus point if you try to change it so maybe that part didn't need to happen