I have three kids - EBF two of them for 6 months, not a drop of formula. Solely formula fed the other.
There's no difference. If anything, my formula fed child is the healthiest. None of my 3 have any allergies, but 1 of my BF ones has continuously low iron and also eczema, and the other BF one gets mouth ulcers. My formula fed one is as strong as an Ox! All the exact same weight.
Lots of the benefits associated with breastfeeding correlate to other things - generally breastfeeding mothers have a better level of education, higher household income etc, so that's why breastfed babies have better outcomes and are less likely to be obese etc etc. But all my three kids have the exact same upbringing, just one formula fed one, and zero differences in health or outcome.
And re: bonding, when I was breastfeeding the two that I breastfed, they would be staring at my boob, I'd use my free hand to Mumsnet or read a book. With my bottle fed baby, I had no free hand, so we would look at each other and our bond was by far the loveliest.
Also, with the breastfed two, I probably was stuck on the sofa feeding for 40+ mins every 2/3 hours. It took loads of time to breastfeed. I had to get a cleaner in because I couldn't cope. With my bottle fed one, it was 5/6 feeds of 15 mins a day. I had so so so much more time, I didn't need a cleaner or any extra help, so in reality formula feeding saved me £££
😂