It's been fun seeing so much of Kirk this season, but does that mean he's now a regular? I don't see how he could take a position on the Enterprise for years yet, so would that imply he just keeps coincidentally visiting all the time? Starts to strain plausibility after a while.
I get the impression that Kirk is not staying in this series. Or if he does likely not on the Enterprise for long.
In the latest episode he mentioned being a person who doesn’t stay in one place for long. Also, mentioning the pregnancy to La’an has me thinking he’s there on the Enterprise to help but not to stay.
I think these are hints that he may pop in on a few occasions but not a fixture.