Symmetrical Object Problem

I’m trying to use RC to make a model of a tripod. The tripod looks very similar from three sides, resulting in the following problem:

Instead of making a nice loop around the object, RC places all the photos on one side. How can I get RC to place the photos in a full circle rather than a semi-circle?

This is only a problem for the close-up shots. The tripod is on a turntable. The distance shots that include the turntable form a nice circle.

I tried using locked pose groups and control points to resolve this problem. No success yet.

Is there a way to put more weight on control points rather than image features when registering (combining) different locked pose groups?

Hi, yes, it is possible to set higher weights for control points. You can set it after CP selection.
How was the tripod captured? Was it standing or lying? Can you also try to capture more images and follow the shape of the tripod?