Anecdote warning, but this feels very common to me in "Hibernio-English" as well. I do it a lot when a simple yes/no would suffice, and I notice other people doing the same. I assume it's a construct that translated over from Irish. I must start listening out for native English speakers of different nationalities for comparison :)
Well, "yes" and "no" are (or should be) only a part of a more (logically) complete answer that is usually implied and therefore not mentioned. Derived from your example:
"(Are you) hungry?" - "Yes(, I am hungry)!"/"No(, I am not hungry)!"
I assume that the adverbs "yes" and "no" initially occurred as optional parts of an answer (only to later cast their supplementary part of the answer as the optional one). Curious enough, now when I'm thinking about it, I remember utterances with the usage of "yes" in the questions themselves (especially on some immigrants) - like "Hungry, yes?" I wonder what will this evolve into down the road...
You clearly speak to different Thai people than me day to day. I have only heard them used to mark pieces of information as being correct or incorrect.
All I can say is that day to day, you must be speaking to different Thais than I am. Chai/mai-chai are only used - again, I must stress, by the 10-50 Thais I speak to in Thai each day - to mean "correct" or "incorrect".
Where in Thailand do you live, and what level of Thai fluency do you have that you're running in to frequent counter-examples?
I've lived in Thailand for 14 years, in Bangkok and now Pak Chong, and speak to Thais everyday. I studied Thai at AUA and then with a private tutor. But that's just my anecdotal experience.
I gave two references to standard Thai, a dictionary and a video teaching basic Thai by native Thai speakers. Both show the Thai words for "yes" and "no". If you have an reference of any kind that indicates there are no words for "yes" and "no" in the Thai language please link to it.
For example 中國很大 ("China is very big", literally "China very big")
But for a while you'll be tempted to add an "is" in there.
In fact you can use an "is" to change the emphasis.
Eg. "中國是很大的" (literally "China is very big adjective modifier")