He later reached a plurality of Republican primary polls while saying...
If you use "by" it implies causation, something no one is able to know, whereas "while" accurately points out that the two events only occurred simultaneously.
Now I'm not sure if you were just writing casually, and I fully expect that now that I've pointed out this "minor" technical shortcoming in your statement you will see my point, and I'm in no way implying that you had a strong intent to imply a cause and effect relationship between these two events...but please don't underestimate the potential significance the aggregate effect millions of seemingly minor slip-ups like this (this is only one example, and only one form) can have on the collective consciousness (aggregate of the internal mental models of all people) of the members of national and global societies when individual members of those societies are subjected to it over a long period of time. If you now think about it, it may seem like you "know" how large of an effect it has, but you actually have literally no way of knowing with certainty and accuracy what the actual effect is.
The world is incredibly complex, filled with all sorts of randomness and incredibly counter-intuitive events, but this is not how we perceive it. We perceive the world as extremely structured and organized, as if mostly everything "adds up", but only because our brain evolved to provide this illusion to our consciousness. This "good enough" illusion rose to the top over all other evolutionary paths that were tried, under the set of conditions in existence at the time they evolved. If conditions (variables) changed significantly, would we be shocked if a formerly highly trustworthy ML/AI model started producing less accurate predictions? I don't think so. Then why should we be surprised if the biological AI in our minds exhibits similar behavior when the inputs undergo a fundamental change? To me, this would be the equivalent of believing in magic of some sort.
People's (that includes you and me) perception of the world is formed based on the information they consume - all of it. It may seem (clear as day, and in full UHD+ resolution) that your personal worldview is based solely on strict evidence and logic, but the fact of the matter is, this is not how the human mind works. Sure, some minds are better at it than others, but the exact degree to which that is true is also unknowable, and making judgements on relative capability are subject to the very same phenomenon I point out.
I will wrap this up with a challenge: for the next month, read not just the news, but also all the general conversations and individual comments in social media forums from your normal perspective, and then also from this perspective. Carefully consider(!) when people are discussing a complicated, massively multivariate issue, whether the discreet observations and assertions that people make are actually knowably true, "first-principle" facts, or if they are actually predictions produced by an amazingly sophisticated AI model. This will not be easy, at all...it will be very difficult and require extreme discipline (you are literally fighting against nature), but the results may be incredibly interesting (perhaps one of the most interesting things you have encountered in years), if you are willing(!) to give it a serious try.