Nope sorry, because you are ignoring the fact that he made one of the most blatant cardinal sins of any bad guy which is lampooned even today, so sure by his time he would have actually read a book or seen a film and known that was a bad idea, which was you NEVER assume your plan is gonna work so you at the very least have a backup plan.
I mean we are talking about the complete wiping out of his home planet and everyone he has ever loved for piss sake, you do NOT leave that much up to chance! I mean you go ask anybody who hasn't seen the movie what they would do and they will ALWAYS give you the same answer "Warn everybody", when every person comes up with the same obvious answer and your bad guy doesn't do that with ZERO explanation? I'm sorry but that is a plothole you can drive a truck through, right up there with Picard going back in time 3 minutes when if he would have went back 2 weeks he would have saved his family, the research station AND got the bad guy.
the only way for that plot to work would be if the guy is completely batshit or a drooling moron and he never struck me as either of those so I'm gonna chalk it up to shitty writing. Lets face it most time travel in ST has been piss poor at best, but this is "I have no time to explain!" while setting in a time machine level of stupid in my book.