1) If you are hungry, we can order something to eat. (Is this question about a current state?) Yes. 2) If he comes later, I will talk to him. (Is this a
Thank you and I am confused that some native English speakers say different things from yours.
"If I am proven rude, I will apologize" also refers to the future in the first half. It's clear that the person has not yet been proven rude, so effectively it means "If I am proven rude in the future, I will apologize when that happens".
"If I am proven rude, I will apologize to you." (This is about a current state or a future happening, you think?) It could be about a past or present event of rudeness; the hypothetical apology is in the future.