Personally, not for us. All 3 of my children have been through the school I’m a teacher at and it’s never been an issue.
I do think it’s a situation that requires some managing though. For example, I keep my two roles as separate as possible. I don’t expect their teachers to have informal chats with me and I make an appointment if I need to speak to them. Similarly, I would expect them to contact me/request to see me if they needed to speak to me, rather than informal chats around school.
I have never expected me children to be treated more or less favourably-none of them have ever been Mary/Joseph, for example. Equally, they are chosen for roles and responsibilities in line with other pupils, as I would hope.
They absolutely are not ‘let off’ and have the same consequences as others if they misbehave (yes, I’ve had a phone call from the headteacher when ds misbehaved 🙈).
I behave as much as a regular parent as possible. I queue for for the front row nativity seats with everyone else and wouldn’t dream of reserving them.
They’ve never been bullied or had any issues with other children. They've had the same run ins and friendship issues as other children - other pupils certainly don’t seem to treat them any differently in that respect.