No flow problem, but I have only tested on the Internet (2MB / s), but not both machines commme it should be done.
That's what tells me lsusb:
Bus 001 Device 003: ID 0b95: 772A ASIX Electronics Corp. AX88772A Fast Ethernet
The only downside: there is a "generic" and the brand is not indicated on the product. And chipset specifications could change.