Interesting. Or puzzling.
My only suspicion could be that indeed the pointing model (either of EKOS, or of the mount, if it has one) are somehow messed up. Like what I said about syncing close to the poles, if the coordinates that the mount slews to are badly off, the hinting ("Position") of course will not work if you are more than 30 degrees off. So that might explain why it falls back to blind solving.

The mount tab of EKOS has some button to discard mount models. I don't know if that also affects settings of the Gemini. Have you tried that? Else check the manual of the mount if there is a way (via HC?) to discard any stored models, and see if that helps.

Other than that, my pool of ideas is depleted...

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