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It is yet to be seen if Nikon introduces a DX Z series, sharing the same Z-mount, but I would say why not. Here are some number crunching I did about how much improvement in the final, print resolution (sometimes called the system resolution) you can expect in the FX (full-frame) compared with the DX (APS-C) sensor size having the same MP resolution. The final resolution you get is a function of lens resolution and film resolution (camera MP) -- and the sensor size. The lp/mm means line-pair per millimeter. The chart shows the camera mega pixel from 2MP (2 million) to 64000MP (64 billion). By the way, this is a type of number analysis Nikon used when they made a corporate decision to keep the Nikon D2 in the DX format. Around 10MP resolution, there wasn't much benefit to move to the FX sensor size.
Sony's new camera A7R IV has 61 MP. Comparing that with the Nikon Z7, the closest camera MP in the chart above is: 48 MP & 64 MP. Looking at FX columns above, you can see that you gain some print sharpness with Sony A7R IV --- the gain is greater if you use a good lens, say, 300 lp/mm lens resolution. There, the improvement is from 24.7 M dots to 30.3 M dots in your print.