Bottle feeding vs breastfeeding - feeling left out

We started combo feeding because my wife needed a break from exclusively nursing. I love being able to feed our daughter with the bottle, but I've noticed my wife gets these amazing moments with her during nursing that I just don't get. I know this is petty and I'm grateful I can help, but there's something about those quiet moments they share. How do other dads handle this? Any advice for bonding during bottle time?