Did your son send you pictures of the baby?
Maybe a short videochat would help?
You want to meet your gc for cuddles. The mother becomes irrelevant and secondary, now invisible. As a dil, I wouldn't like that.
Maybe her family are there to help, take care of her, the mother?
Dil is super busy now. A visit with you, "if only an hour" (that's a long time in a new mother's calendar), means she has to get dressed, presentable and play the hostess role.
Trust me, it doesn't work for her. Entertaining visitors is at the bottom of her priorities
You also mention baby is taking the bottle, would you want to bottle feed too?
You see where I am going? Your expectations are not hers and the baby to fulfill.
The more you push dil, the more she will push back.