I have a vivid memory of staying home sick from school and watching daytime educational programming on PBS. There was a (dry, low-budget, old) math show for kids on. They had a "skit" where a couple of teenagers went and got replacement tires for their car. They came in with a set of numbers that I assume had to do with the tire measurements. (Maybe hub diameter, hub thickness, and tire outer diameter.) They found tires that matched on two of those numbers, but the guy was impatient and said it had to be basically the same because it matched on two parameters. Then in the next scene, the same teens were driving the car with brand new tires and they got pulled over for speeding. The driver was sure the speedometer said he wasn't speeding, but the new outer tire diameter changed the calculation, meaning the speedometer read lower than they were actually going.

This is the first time in my life the memory of that show has ever come in handy.

Hi! I was a controls engineering in the automotive industry in the US for a while.

Yup. You sure should! Some cars even have tire dimensions and quick selections of winter/summer tires for exactly that. Some cars make it much harder/impossible to do.

Same with motorcycles if you swap sprockets of course (a common modification)

Edit: seems bikes are a pretty mixed bag where the speed sensor is. Your mileage (and speed) may vary there

Yes,you can use the tire size information to calculate the circumference of the stock and the new tires. The speedometer will be off by the same ratio as the difference in circumferences. If the new tires are already installed and you don't like geometry, use your gps to check the accuracy of the speedo at a few speeds

People who put lift kits and huge tires on a truck they're using to drive around town don't really use the kind of critical thinking to worry about that. They're mostly thinking about their credit card payment and how it's all brown people's fault.