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Perhaps you're mis-understanding when it's quoted as saying it's counted as 1 HP within 14 days. As you've noticed you will in fact see a new HP for each lender you apply with. However, when it comes to Fico scoring these will only be counted against you as if it were 1 HP. I am not sure what you mean for 're-coded' my assumption is these come up as mortgage inqueries? I wouldn't be too concerned with the numbers of inquiries as these are easily explained as rate shopping.
The key is that none of thos pulls negatively affected your scores.