We have been using Egnyte Connect with ArcGIS Pro and ArcGIS Desktop for about 8 months. I am not a fan. It is nearly intolerable dealing with file geodatabases and forget about raster datasets. My team has resorted to copying projects locally.
It clearly states mdb files (old but still very common) are not supported. And since file geodatabases are made up of many small files corruption and errors when running geoprocessing tools are common.
Note
Adding large numbers of small files may take longer than expected due to the overhead of processing files for upload.
Unsupported Characters and File Types – Egnyte
EXP Now Offers Egnyte Cloud Storage - EXP Technical
This system may work well for on-prem systems and for simple documents and images, but anything other than that I do not recommend. There is an offline folders option (I assume Dropbox-like) but our IT department has it disabled.
I would be interested in your experience.