Why converting a minor of a graph into a subdivision is not always possible?

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In my attempt to try to understand the Kuratowski's Theorem and the Wagner's Theorem, I encountered an article in Wikipedia where it is mentioned that converting a minor of a graph into a subdivision of the same type is not always possible.

I tried to look somewhere else but there is no example of a case where converting a minor into a subdivision of the same type is not possible.

Could somebody please give any example? Thanks for the help.