The Handbook only says "Recognizing new ward members, including recent converts" (29.2.1.1) It doesn't specify any conditions.
Some other quotes:
Handbook 18.8.3 wrote:When a full-time missionary interviews a convert for baptism, he fills out the Baptism and Confirmation Record using the Area Book Planner (ABP) app. After the baptism and confirmation, the missionaries record the information in ABP and submit it to the ward clerk electronically. The ward clerk reviews the information in LCR and creates the membership record.
It appears it's on the ward clerk to make the membership record. Have the missionaries done their part?
Handbook 38.2.6.1 wrote:For record-keeping purposes, an ordinance is considered not valid if the year it was performed is missing or incorrect on the membership record. In addition, a baptism is not valid if a membership record was not created.
I'd pass that along to the missionaries. The baptism doesn't count until the paperwork is done. Odds are, they won't get credit for the baptism in their reports until they record it. Hopefully that's enough arm twisting to get them moving. Otherwise, a chat with the mission president might be in order.
Bottom line, I'm not seeing an authoritative answer to your question. Perhaps it's something that should be passed up from bishop to stake president.
Part of me wants to put pressure on the missionaries, but I don't know as delaying things is good a good experience for the new converts. Personally, I'd rank the latter is more important.
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