Let’s put ourselves in the BBC’s shoes. Your argument is that the BBC considered that there were 2 issues, one being an editorial error to use the expression “pregnant people” instead of “pregnant women”, the second being that Croxall rolled her eyes, presumably therefore because of the editorial error. They publicised the admonishment of Croxall but said nothing about the inappropriate use of “pregnant people”.
My argument is that from the BBC’s perspective gender ideology is ingrained in its systems and policies, so to use the expression “pregnant people” was not an error. So from their perspective the only error was that Croxall rolled her eyes, showing disapproval of the BBC’s approved doctrine of gender ideology. That is why she was admonished and there was no mention of an error in the expression “pregnant people”, and why I conclude that the BBC is promoting a belief system instead of basing its reporting on science / fact.
Neither of us know. Others will form their views on which is more likely.