Does your gas powered car or truck ever spit and sputter a bit in the spring and fall?

When was the last tune-up??

A tune-up is not the issue. During the hot and cold months, and generally in between, the engines run great! It’s just that every once in a while, in the spring and fall, they all stumble some. Not a lot, just some. Not all day long either.

Gasoline gets different formulations depending on where you live for different seasons and the transition is in the spring and fall.

Mine doesn’t that I know of, but I’ve seen it on other cars, and I vaguely remember when I was a kid that would happen to our cars.

I also figured that the carburetor (on an older car) or the points get dirty and the ambient temperature makes it worse

In most places, gasoline properties are varied throughout the year. to reduce emissions while improving driveability. The Reid Vapor Pressure (RVP) is a measure of this volatility. Winter fuel is more volatile than summer fuel. High volatility fuel helps the car start quickly in cold weather but evaporates more quickly in summer putting hydrocarbons into the air. Low volatility fuel works great in summer in warm climates but makes starting in cold climates difficult.
So how is this fixed? The RVP is varied several times per years in different regions. Here is a chart describing the requirements.
Car with fuel injection make an estimate and correct for this based upon several factors: the current temperature, the temperature when you last turned your car off, the time since your last fill up, the average fuel correction needed to achieve stoichiometry over the last 50–300 miles, and other factors.
Most older carburetor cars do not have this capability. They do not correct for a fill-up of drastically different RVP.
You might be using older gasoline or gasoline with a less than ideal RVP.

I think it is because of the wide temperature changes in the spring and fall that produces a certain amount of condensation in the fuel tank. Sooner or later, the water has to go through the carb/injectors causing the stumble.
@JLeslie has had the best answer so far, more to the point of the question.