And raising interest rates won't solve the chip shortage hurting the new / used car industry.
I think this is true but only to a certain extent. People can make sacrifices to reduce transportation demand. Making a single trip, getting a smaller vehicle, or carpooling are options. The issue is that we've lived in a luxury transportation world for a long time, and people may be unwilling to make those sacrifices.
Maybe there is some idiot out there who doesn't need a car but just likes having an autopayment burn a hole in his wallet every month, but is that person going to be dissuaded by a 1% increase on interest rates? There may be a few people right on the cusp of not needing to purchase a car who could be moved over the edge, but these are a tiny minority, and their shift in behavior won't have a serious impact on prices.
Regardless, the fact is trying to reduce demand is just a bad solution to shortages. Increased demand justifies the investment in new equipment and infrastructure to meet that demand, which in the long term leads to lower costs all around, and increased employment which in turn fuels more healthy growth. While in an emergency you might want to ration something just so nobody starves, cars aren't an emergency supply.
I hope you recognize this is so far outside current economic consensus that I can't even call it a heterodox theory. It's just wrong. This is the same logic used to justify repeated interest rate cuts in Turkey, which is causing disastrous inflation.
Interest rates also represent the opportunity cost of money. An increase in rates leads people to save rather than consume, decreasing the velocity of money and tending to lower inflation.