The price at the pump affects not only a voter's commuter car, but also every truck that delivers goods across the US. This may have a much larger knock-on effect.

OTOH the US is the largest oil producer in the world [1]. Theoretically the US could keep domestic prices in check, but that would require rather drastic administrative pressure, likely only legal at wartime.

[1]: https://www.eia.gov/todayinenergy/detail.php?id=61545

It'd also require completely different refineries. Most U.S. oil is Sweet light vs the Heavy stuff we import and refine from overseas.