I'm still trying to learn CRDTs; but early on in my learning process i had the thought that CRDTs don't have mere data types - as you say, they have Data Type + Conflict Resolution bundled into one. It's not enough to make a String type, because different types need to be resolved differently. Plus some types of resolution have a lot more metadata, so you want to choose the best fitting one.
I found that my goal to make SQL + CRDT meant i had to expose this combo of Type + Resolution to the end user. It seems essential to how the app works.
But maybe i don't know anything, /shrug. I'm still learning them.