Do the 17 Points prove the Restoration?

Weston told that story, and the Caltech dates are a real complication. I’d need evidence of a lecture at a time when he could have attended as a college student.

You separate the testimony that Weston told the story from evidence that could date the lecture.

Because there is an audio recording, we know the study group story happened as told.

An audio recording documents what Weston said. Use an independently dated record to test the event he describes.

Paul gives a complete organizational chart and instructions for transferring authority.

Paul identifies several ministries and explains their purpose. The claim about a complete chart or succession needs more evidence.

It establishes that these ministries mattered for building up the Church. I would compare Acts 1 and the evidence for succession or restoration to see how the authority continued.

You take the text seriously and identify the historical question it leaves open.

Yes. Ephesians describes Christ as head. In 3 Nephi 27 the disciples ask what to call the Church, and Christ connects His name with being built on His gospel.

You use a passage that directly answers the question and include the condition Christ gives.

Any church with Christ’s name in its title meets the whole test.

Read the end of 3 Nephi 27:8. The passage also asks whether the Church is built on Christ’s gospel.

His example means every minister must waive compensation.

In the same chapter Paul defends the right to support before explaining why he personally does not use it.

Paul chose to waive a right he had just defended. Local lay service and financial support for full-time ministry can both fit that passage.

You distinguish Paul’s choice from the rule he gives for gospel workers.