提单与产地证的收货人要一致吗

可以的。因为产地证上收货人一般写开证人/实际收货人，而有些信用证规定提单上的收货人为银行，通知人才是实际收货人。

提单收货人和产地证收货人保持一致。

请参考ISBP745 L5:

Consignee information, when shown, is not to conflict with the consignee information in the transport document. However, when a credit requires a transport document to be issued “to order”, “to the order of shipper”, “to order of issuing bank”, “to order of nominated bank (or negotiating bank)” or “consigned to issuing bank”, a certificate of origin may show the consignee as any entity named in the credit except the beneficiary. When a credit has been transferred, the first beneficiary may be stated to be the consignee.
二者不得矛盾。