Can a Logic App File System connector access a file share in an ISE environment without a gateway?
The File System connector implies it can access a a file share ... the new connection dialog shows "Root folder path (examples: \MACHINE\myShare or C:\myShare)", but I can't get it to work without installing a local gateway.
Or does it need an ISE variant of the File System connector?
The answer is ...
Yes, the File System connector can access a file share without an On-Premise Data Gateway
But you need to use the ISE variant of the connector.
(and at the time of writing (2020-01-13), the ISE variant connector does NOT have all the features of the standard connector)