How to deal with the "I don't want Dad! I want Mom!" problem

I think this is a typical example of a situation where a father might stumble even when trying to take on childcare duties.

"In the middle of the night, my husband suddenly confessed, 'I haven't been able to feel that our son is cute lately.' It's not that my husband isn't doing any childcare at all, but what should we do when our son says, 'I want Mommy'?" https://togetter.com/li/2710164 #Togetter

My wife, YouMe, is a very wise person who constantly conveys respect, gratitude, and affection for me to our children. She would often scheme with them, saying, 'Let's do this when Dad gets home,' and they would often surprise me with something delightful when I returned.

In our case, since YouMe is effectively a stay-at-home mom (though she does an incredible amount of support for my work), her contact time with the children is incomparably longer than mine. Therefore, the father's presence can easily end up feeling less significant if one isn't careful. However, if the father's presence becomes insignificant to the children, it can result in the burden of childcare being concentrated solely on the mother. How can this be distributed to the father as well?

If the mother herself conveys respect, gratitude, and affection for the father to the children, and plans surprises with them to delight the father, the children will start waiting excitedly for him to come home because they want to surprise him. And when the father actually reacts with surprise, saying, 'Wow! Amazing! You learned how to make a fried egg all by yourself!' or 'Huh? You did the seasoning for the yakisoba all by yourselves? That's amazing!', the children feel a sense of accomplishment and are delighted.

YouMe thought of these 'plans,' consulted with me, and we executed them together. I am deeply grateful to YouMe for the fact that our two children still get along well with me today. I am truly glad I was able to marry this person, and I am deeply grateful for that good fortune from the bottom of my heart.

P.S.
Furthermore, if anyone hears this story and misunderstands it as 'So the wife just needs to respect the husband,' that person is an idiot. This only works if the husband also holds respect, esteem, and affection for his wife. This only works because they respect each other. Expecting a wife to unilaterally respect her husband is simply the exploitation of emotional labor, and I think a husband who does such a thing deserves to be despised.