No. This is not a common type of story at all. It involves a very abnormal and unethical situation which is not something that is typically found in mainstream or even most alternative forms of storytelling.
This statement is rather strange and unethical. However, if it's a very odd or metaphorical statement, perhaps it could mean that his wife forced him to do something extremely unpleasant or demeaning that he compares to the unthinkable act of'sucking a dog'. But this is just speculation based on a very odd phrase.
For example, the wife might have made the husband participate in a community activity like a charity run. He didn't really want to at first, thinking it would be tiring and boring. But after doing it, he had a great time and made new friends. So he could use the phrase 'wife made me suck story' to tell how his wife pushed him into something that ended up being positive.
It is highly abnormal. Marriage is a union based on mutual understanding, trust, and respect. Any form of request that involves such inappropriate and non - consensual behavior is a sign of a very troubled relationship. In a normal marriage, partners should communicate about positive, healthy, and respectful things, not engage in or demand actions that are clearly against social and moral norms.
First, you must immediately reject the request as it is inappropriate. Then, try to have an open and honest conversation with your wife. Explain to her that this goes against your values and the boundaries of a healthy relationship. It could be that she is influenced by something abnormal or she has some misunderstandings. If the situation persists or gets worse, seeking professional help, like relationship counseling, might be a good option. Because in a normal relationship, both parties should respect each other's dignity and boundaries.
I'm not entirely sure what this specific phrase means as it's rather strange and not a common expression. It could potentially be a very poorly worded or made - up concept.
It could be a really strange statement. Maybe it's a story where the wife forced the person to do something unpleasant, but without more context it's hard to say for sure. It might be a joke within a specific group of people who have their own inside meaning for it.