FcUKfour my MIL, who sadly died young last year, was far more involved with my children than my own mother and saw them more. I found my mil easier and more helpful because she was interested in playing with toddlers and teaching older kids her skills etc not only in cuddling babies, and also because she would muck in with things more - my own mother wouldn't so much as boil a kettle or put her own mug in the dishwasher, and criticised everything I cooked (slow cooker or bung in the oven stuff a couple of weeks post birth) as too "heavy".
I wouldn't have wanted my own mother around more than once per week either - but my mother expected to be given the babies to cuddle and be waited on as though she was the one who'd just given birth, but hand them back for nappy changing. She came to stay after dc2 was born and created more work for me than my toddler, whilst stressing me hugely by refusing to let me hold my own baby except if he needed feeding or changing, and making out that she was doing me a favour giving me time to do housework (I'd just had a cesarean section and she advised me to get on and do a deep clean while she was there to cuddle the baby).
The thing is I didn't want anyone to hold my babies as a favour to me - I understood grandparents wanted to cuddle them and let them, but it wasn't doing me a favour, I didn't want my hands free or a break. Once I was able to after my cesarean sections I used a wrap slings and goton with things with my toddler/s, but I didn't want to be apart from my non mobile babies. Having another adult in the house wanting the baby wasn't helpful.
I had babies because I wanted them, not because I wanted time to mop the floors or get away from them.
When DC3 was born I declined help and invited people to meet the baby but upset my mother by saying that I didn't want help or her to come alone for an extended stay. It was a thousand times easier for me to be alone during the days with dc3 and 2 toddlers (and dh there evenings and weekends) but no grandma "helping" than it had been when my mother "helped" after dc2 was born.
Your Dil is just a different person to your daughter. She may not want the baby constantly taken out of her arms. She may be a more private, independent, or introverted person. She may be the same with her own mother.