Is my MIL a bit obsessive over my baby?

May not be the most structured post but rant ahead. Not sure if I’m overthinking but some things which my MIL does/says get on my nerves: For context, we don’t stay with my ILs but we make it a point to go over at least once every week. My hubs is rly pro family and this is his way of trying to let our families bond. But… 1. As soon as we set foot into the house, she always reaches out and asks me to pass my baby to her 2. Every now and then she implies (towards her relatives) that I’m lousy and cannot take care of my baby and dog tgt (sorry but I can perfectly do that, and it’s usually the case back at home when my hubs goes to work) 3. There are times when I don’t get to to spend as much time with my baby during the day because I was busy with other stuff. Or y’knw some days you just feel like cuddling with your baby more? She comes up to me and asks me to pass the baby to her cause: - she does a better job at making my baby sleep (don’t agree 100% but we our ways are different) - her hands are empty lol and there’s nothing for her to do 4. When my baby cries, I’m usually on high alert and I will stop whatever I’m doing to take a look or go tend to her. But my ILs completely disregard my presence and just passes the baby to and fro to try and calm her down 5. Sometimes when they’re carrying my baby, they suddenly just head towards the door and LEAVES. Where exactly I do not know, they only tell me when they come back they they go walk walk etc. They also don’t bring their phones along so I can’t help but worry that should something happen, I don’t know where or what to do. 6. We usually on the aircon only at night but over here, they keep insisting that my baby scared hot and always takes her away from me (in the living room) to go hide in the aircon room 7. They like to say stuff to my baby like “1-2 months later you can eat anything you want”, “ask mummy to give you gripe water so won’t fever”. I usually just Orh them back and don’t do anything more. Wow this is quite a list of unhappiness word vomit. With all that said, my hubs is a great man and his intentions are good - for our families to be close. And sometimes he does the hard job of intervening when I tell him to. But my ILs really have their own patterns…… do I really have to close one/both eyes when I come over to their place, just because there are times when we need their help to take care of the baby? 🥲