Origin of "Yes" joke to a question

I agree with Jason's comments, that these responses sound (if humorous) are supposed to be interpreted similar to a question where one option is supposed to be chosen from many (usu. with implied mutual exclusivity):

What would you like for dessert, ice cream or cake?

Yes. (Implying that I don't want one option, but rather all options)

By answering with purposefully incorrect English, the speaker is trying to give a humorous response.

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It seems like an extension of that, for example in the first one:

Engineer: "How large should the rims be on the new model?"

Audi: "Yes"

I take it to mean "Yes, they should be very large, so large that they are almost indescribably/ridiculous for the context". This does not have the implication that the speaker is "high/stupid/not able to speak the language well" in this case, but rather that the speaker is trying to describe an "indescribable" aspect. So instead of giving a proper answer, they give a "joke" answer.

This kind of joke would be strange in this case, since the rims of a car can only be so big. It might apply better to someone designing a Monster Truck, and asking how big they should make the wheels. For example if the engineer is used to designing regular cars that are much smaller, then the person saying this would be implying "way, way bigger than you expect". It is still not the best use of the joke however.

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In the second one:

Buddy: "How much weed are you taking with you?"

Snoop Dogg: "Yes"

I would say that this is supposed to imply that the speaker is "high" (mostly because being Snoop Dogg already has that implication). But there is also the implication, since the Buddy asks "how large of an amount", that the answer has an implied "So much weed that it's ridiculous".

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In general, I would say that it sounds pretty characteristic of young people "Internet Speak", of people trying to apply a format of a joke they see often in other circumstances. In cases where a "degree" question is asked instead of between a few options, the implication is usually too such a high degree that it is indescribable/funny/ridiculous.

However, most of the humor comes from being it being a reference to the original joke format, rather than being funny by itself. It sounds like what my 10 year-old cousin might use when talking with his friends about Minecraft/Fortnite/whatever else they come up with.

It's from the 2018 Freaky Friday music video by Lil-Dicky ft Chris Brown, a Japanese man was asked which one of some two dishes of food were his preference, then he simply answered: "yes" instead of choosing between the two.

Is this a flip of the zen use of wu (or mu) meaning "there is no answer to that question"?

A monk asked Zhaozhou Congshen, a Chinese Zen master (known as Jōshū in Japanese), "Has a dog Buddha-nature or not?" Zhaozhou answered, "Wú" (in Japanese, Mu)

https://en.m.wikipedia.org/wiki/Mu_(negative)

The essence of humour is incongruity followed by the realisation of the reason for the incongruity.

A: "How large should the rims be on the new model?" B: "Yes"

A: "How much weed are you taking with you?" B: "Yes"

Both of the above are incongruous - the answer appears to be a non-sequitur until the listener/witness/audience to the conversation realises that two lines have been omitted from each conversation because B has anticipated A's next question and answered it directly.

A: "How large should the rims be on the new model?"
B: "Twenty-four inches"
A: "Wow! that's huge, isn't it?
B: "Yes"

A: "How much weed are you taking with you?"
B: "500 grams"
A: "Wow! that's a huge amount, isn't it?
B: "Yes"

I'm 67 years old and use "yes" in this context somewhat frequently. It's not a joke, but a humorous response, and it's not restricted to young people or internet use at all. It means that the question itself is somewhat humorous, given the specific person being asked. It also means that the answer is larger or more of the characteristic being questioned than you would expect. The responder is going to be smiling when saying, "Yes!"

Example: Person 1: How much ice cream do you want? Person 2: Yes! (Start scooping and keep going until you fill up the bowl or I tell you to stop.)

Another Example: Person 1: Do you want a Jaguar or a Lamborghini for your free prize car? Person 2: Yes! (My desire for either is so great that I'll take either one.)

The "yes" meme also comes from the movie called "Bruce Almighty" when Bruce is answering "Mail Prayers" and answering 'yes' to each prayers. Hope it helps! Here is some clips of it if you are interested: https://www.youtube.com/watch?v=_Ut8HupAxVY