Can someone help me understand the relationship between asset write-ups and DTLs?

Currently grinding LBO prep and am still pretty confused about the relationship between asset write-ups and DTLs. Maybe I'm just completely misunderstanding this, but I thought the idea was that asset write-ups create increased depreciation expense that reduce book pre-tax income, but they do not affect pre-tax income for tax accounting purposes.

So if we are actually paying more cash taxes due to asset write-ups than what we record on the books, why is this creating a DTL instead of a DTA (according to WallStreetPrep)? Am I just getting the book and tax depreciation switched up in my head?

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