Welcome, @JMall.1, to the community!
The dies inside are identical, but the internal connection is a bit different. This means that apart from the maximum total power dissipation, the electrical parameters are completely identical.
The thermal resistance Rthj-lead increased from 15K/W (VNS1NV04D-E) to 30K/W (VNS1NV04DP-E), so the absolute maximum total power dissipation decreased from 8.3W to 4W, which must be taken into account for the cooling measures.
Good luck!
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/Peter
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