@matstap, what is your objective, you want to pull information of dataset or whenever a search using dataset is run?
I dont think there is a separate REST endpoint for table. If you have already run the datamodel REST API, have you tried the following using
dataset.type="table" to identify ?
| rest /servicesNS/-/-/datamodel/model/
| search eai:type="datamodel" dataset.type="table"
| makeresults | eval message= "Happy Splunking!!!"