Is it a bad idea to daisy chain to an internet router through an external drive?

I'm interested in setting up a wired connection to my router, in order to achieve a faster internet connection than I can get from built-in 802.11n. My 2012 Mac Book Air has only one Thunderbolt 1 port, and that port is in use by an external LaCie HD with two Thunderbolt ports. So I would be connecting to the internet this way: 2012 MacBook Air > Thunderbolt 1 Cable > Lacie HD > Apple Thunderbolt to Gigabit Ethernet Adapter > Fast Cat5E UTP Patch Cable > Netgear Router > cable modem Will having a hard drive between a laptop and its internet connection impose a significant performance cost?