I think you have perhaps some views on parenting which are considered a little old fashioned these days. That's not to say they are 'wrong' as such, but they are unusual, and I think might be one of the issues here.
It really stands out to me that you have several times seemed confused over the concept of bonding with a baby, or that your husbands presence will help him bond with baby (and baby with him).
Spending time together helps create a bond. Caring for your child helps create a bond. Your child spending time with you helps their attachment to you to grow. It's obviously not a new concept, but I think there is more emphasis on it these days. It's one of the reasons why maternity leave exists - a nursery could take care of the physical needs of a newborn, but it's good for a very young child to have time with their parents as an infant. Bonding is one of the main reasons behind paternity leave. Then there's the hormonal stuff - cuddling and spending time together releases oxytocin, which helps both of you feel close to eachother. It's like any relationship, spending time together makes the bond stronger.
Its quite apparent that you have a very traditional approach when it comes to the roles you both undertake in parenting. As you've said, your background probably plays a part in that. Whilst in a lot of families, mum does most of the parenting, I think your expectation of involvement from dad is still far less than most couples would be happy with. If that works for you, then that's your business, but it's unusual for a locally living dad to be quite that absent, and it goes against more modern ideas of dad's taking a more active role, so I think you've got to expect that some people will be confused by it, and some will be a bit horrified - both the NICU staff and on here.
As someone whose husband made dinner last night, spent an hour putting our toddler to bed, and 2 hours up with her in the middle of the night, and has gone to work this morning, the 'why would a dad need to spend time with a child' approach seems very alien. Many nurses in NICU will have felt the same. And whilst I know many men don't do as much as women, most that I know go out of their way to shoehorn extra time in with their child, because nurturing thst relationship is important.
If you are content with how you organised/split things, then just put this aside and get on with enjoying your baby.
As far as you being expected to help out with care etc, that's partly to check that you can do it (yes you've done it before, but a baby who has been poorly is likely to be less robust when going home, and they need to check that you're OK with stuff) and also because again, it's an opportunity to bond and spend time together. And it's as near normality as you get, when you get to care for your own child, rather than being passive. I don't see they've gone anything wrong there. Sorry.
Ultimately, I can totally see why you'd feel upset by what was written, even though most of it was just factual observations. You're out of there now though, so I hope you can move on with your lives as a family of 4.