I get the same behaviour indoors when using my Plena or 85 1.2, for example, with my cat as subject. Using single-point focus, it is pin-sharp each time, as soon as I use any of the advanced AF modes, eye-detect will be very quick, but the actual focus-point can be elsewhere, more often than not.
As said, under similar conditions, my other bodies are doing much better, even the Zf outperforms it in terms of hit-rate.
Edit: I do appreciate your feedback though, thank you. I will keep at it, and see how to improve the hit rate - if it gets it right, the results are stunning, as long as you keep ISO at or below 3,200 level, otherwise noise starts to impact the image, and whilst denoise helps with cleanup, it does impact the final result a bit, if iso creeps to high.
Edit2: I have also considered variables like contrast, eye-color, etc, but even testing on some ducks here with red eyes vs jade-green feathers, will sometimes give brilliantly sharp shots, a second later, focus will be somewhere else, typically above its head, or in front, over murky grey low-contrast water. Hopefully upcoming FW releases will improve the AF. If indeed it is to blame