Hi @MitchDixon ,
I have not tested it until now. And no dataset can be tested.
My understanding is that, when you connect to dataset in Power BI Service from Power BI Desktop, you are interacting with the dataset. So, it won't be inactive.
If my understanding is wrong, please let me know.
If this post helps, then please consider Accept it as the solution to help the other members find it more quickly.