Nope! They absolutely cannot, only PayPal can see that information- not the merchant,
You can verify this yourself by sending yourself money from PayPal B as goods and services, changing the details on PayPal B and then sending it again. Stores like Walmart or Apple can only see the same stuff that you would if you sold on eBay (name, address, email, phone number).
I’ve tested this theory with overstock in the past and had no problems