Boundary help please.

giving birth to my second in a 6 days or less. I have not shared the due date with his family (due today), for many reasons. I’ve always said “early June” when they have asked, the texts asking if baby is here yet has already started. With my first they kept texting when we were at the hospital (I was induced so I had a set date), and wanted to know step by step what they were doing to me. Husband didn’t really share and I didn’t want anything shared either. I don’t have a relationship with his family, they only started being nice when I birthed my first. When we got home, we invited his family over that same day, only his mom showed up (She did this so she could have multiple other visits that same day by using an excuse of she needs to bring so and so over to see the baby). When she first walked in she asked why nobody was telling her what was happening?….. wtf mind your own business. ANYWAY. Now having my second, again we are having no visitors at the hospital, we plan to send his family a photo and text when we get home. And letting them know we will reach out when we are feeling up for a visit. Now I’m really worrying, it’s looking like I’ll be induced yet again, they will be asking how my delivery went, I don’t want to share I was induced or anything, but wondering if they will catch me in a lie about going into spontaneous birth? Because I’ve said I’m due early June? What should I say when I’m asked??