I actually think the scenario where tears could genuinely be described as cold, calculating manipulation (in the way the people you've encountered characterised it) is very rare. Bearing in mind that smiling sweetly when asking for a favour is also a form of "manipulation", as is trying to get a child to view tidying up as a game so they'll do it without fussing. And really so are many of our interactions as humans when you think about their purpose.
It's certainly not what you've described yourself or your daughter experiencing.
Part of being a child is learning emotional regulation. As you've experienced to your cost, having people shame you or blame you as you go through that process has very damaging consequences. The tears are part of learning to regulate your emotions and learning to self soothe. Like you said, you didn't want to be consoled, it was just your emotions spilling out. If you hadn't had the nasty reactions you got you would have been able to learn to self soothe and learn that you can survive feeling intense emotion without feeling there was something wrong or shameful about yourself.
If he's receptive your DH might find it helpful to read about child development in terms of emotional regulation and the problems it could create for your DD in adulthood if he continues the way he is. If he's not, perhaps you could do some reading so you can have some points you can put across yourself.
As for attention seeking... Attention is a human need. We all need attention - again, other than the forms of so called "attention seeking" our culture has labelled as unacceptable, think about all the other kinds we engage in that are considered acceptable (you're attention seeking if you strike up conversation - you want that person's attention so you can talk to them, you want their attention on you while you talk).
If somebody is seeking attention it's because they have unmet needs. It is not something that should be shamed. Once you meet the needs then they won't need to seek the attention anymore. That is a much healthier and more loving scenario.
I assume when your daughter was a baby she cried when she needed your attention. Why was it acceptable for her to seek the attention she needed as a baby, but not as a young child?
It is healthy to seek out the fulfilment of our needs, it is healthy to seek out attention and affection and connection from our fellow humans. It's part of being human.
It's good that he's listening, but he does need to act as well. If he's of the view that what happened to you was simply what happened to you, then there is a much wider body of evidence on emotional dysregulation and the problems it causes in adulthood, which is what he is setting your daughter up for if he carries on like this.
It is healthy to be able to cry and to allow ourselves to feel our emotions. Feeling and expressing emotion, and crying, are important ways of releasing tension and distress that otherwise build and build and build. The world would be an easier, better place for many of us if we'd never been made to feel we had to squash them away because there was something wrong with us for feeling.
Shaming children is toxic. They don't have any other perspective to counterbalance or dislodge the shame implanted in them by the adults around them.