You know what? For as much as we like to believe we are *in control* we are not. We all respond to our baby's need. Mothers with a high needs baby have the hardest workload - and do so well just to keep themselves and their baby together. Yes they are criticised and encouraged to *switch off* from their baby. It just goes against the mothering grain. Some babies hve easier temperaments and are reasonably undemanding - a fluke of nature. But their parents are congratulated on *what a good baby8 they have. Newsflash - it's just luck - not anything you are doing in either situation.
What you have is a well adapted human baby. They are designed to be with a parent. 3 mnth old babies are clingy. they are babies. Sadly, so many experts teach us to ignore our children's needs to the extent we can't even see their needs let alone meet them - you are doing a great job