Not much, the data will show up fine, by default ThingieQuery doesn't do anything magical with the workbook itself it just reads and if you want writes data to it.
You can however explicitly embed a query into a workbook (it gets stored in the CustomXMLParts of the workbook), and you can automate running this query from VBA. For this automation to work, the other computer would need to have ThingieQuery installed, but it wouldn't need a license. The license is only required when working with the ThingieQuery UI.
I'm currently working on the ability to automate the execution of embedded queries from the UI, since the VBA automation API is less user friendly. I'm a bit apprehensive about this, as it might encourage further misuse of Excel though.
You can however explicitly embed a query into a workbook (it gets stored in the CustomXMLParts of the workbook), and you can automate running this query from VBA. For this automation to work, the other computer would need to have ThingieQuery installed, but it wouldn't need a license. The license is only required when working with the ThingieQuery UI.
I'm currently working on the ability to automate the execution of embedded queries from the UI, since the VBA automation API is less user friendly. I'm a bit apprehensive about this, as it might encourage further misuse of Excel though.