Correct. The Death date would be fine. Here is what you would have.
Death date: 12 Dec 1903
Death sort date: 12 Dec 1903-1
Burial date: (blank)
Burial sort date: 12 Dec 1903-2
The Death date and and Burial date are printed in reports. The Death sort date and Burial sort date are not printed in reports.
The order of facts is governed by the the sort date for the facts, not by the date for the facts. The default sort date for a fact is the same as the date for the fact. For most facts most of the time, the default for the sort date will place your facts in the correct order. But if necessary to get facts into the correct order, you can override the the sort date for a fact and doing so will not change the date for the fact.