I read this and I read this again, and then one more time.
Something is not right, about Tsurumaki. This dating method of his frankly will not be tolerated in today's society, not because there is anything wrong, but because it is no longer considered modern. The response also reflects this. I have never heard of people buying flowers because each type of flowers represents some sort of romantic meanings. I bought flowers for someone simply because it is pretty, that's it.
Maybe my dar suffered a serious malfunction. But somehow I think he is a closet gay. Men selling women shoes are quite unusual at this day and age, plus at his OWN age, and the mangaka never did explain why he worked in this industry despite in the panel he was in the middle of trying to explain but then the entire topic was dropped as if he never talked about his career whatsoever...there is a small chance that he actually intentionally drop the topic discreetly, as he never talk about this topic again.
The buying of flowers, the so called "boasting", all of which seemed like he was reading a dating book aiming at a woman because he absolutely has no clue of what he is doing. This thus creates the strange situation of a accidental lavender marriage. He did not seem to be happy, during the ceremony, but rather giving off vibes of "sigh of relief and now I can pass in the society, and then now I can hang out at the local gay district". The fact that his wife seems to give him 0% respect also reflects the unusual situation. If they had tried sex before the marriage, a 0% reflect from the woman to the man says A LOT. Or rather, a hetero or bi woman trying to have sex with a gay guy. She will probably wait for another 10 years before he can perform again, with the help of a fluffer of course. Usually one will say "Let's call this off" (especially your wife seems to have no loving feelings plus even look down on him), he also seems to have no clue of what is behind the scene, and also does not seem to CARE what is behind the scene. If he were doing all this due to social pressure, then he has just gotten a grade of "A". How much more perfect it is that you wife is completely not interested in you, while you yourself just convinced yourself the marriage is great but in reality "I can finally pass". You also see that there is no visiting characters in the wedding which is his family, and he seems to have a very short temper as he clearly want this thing to finish as quickly as possible. It is probably a better situation since there is no need to act with extra effort to convince everyone that this is a real marriage despite in reality it is a lavender
There is a very good chance that the two women will come back together if the story continues. As for him, divorce will no longer affects him since no matter how short it is, he WAS MARRIED. He can also blame her for unable to have children, while she can counter-accuse too. Perfect.
I don't have ANY proof of this. But if these guesses are injected into the plot, this manga would instantly turned into something spectacular good.