It's not what I believe in, it's what I'm seeing. I've been through a couple of different NAS at home. I went from a basic D-Link DNS-323 NAS to an Asustor AS5002T. It's quite a leap in performance going from that crappy little D-Link.
What I've found and tried out between the two is that if your SATA Controller on the NAS is trash, you'll never reach the ethernet limit. My d-link's transfer speeds with 2 drives in RAID 0 was ~20mb/s through an ethernet connection. My Asustor gives me 100+mb/s in RAID 1.
Once you get rid of that limit, the next bottleneck I found was the actual drive itself and not so much Ethernet vs direct USB 3.0. Sequential read/write from both yields very similar results (+/- ~5mb/s). But when it comes to the random reads/writes, your performance is most definitely limited to the IOPS the mech drive can handle. I've had a WD Passport hooked up directly to computer via USB 3.0 and did a transfer of a large folder with a decent amount of files, and I've had it hooked up to my NAS via USB 3.0 and transfer data via ethernet to my computer. It really does yield almost exact same transfer speeds. Seriously, internal drives in my computer will yield similar results copying files from one hdd to another.
You did mention that you're saying that ethernet vs direct usb 3.0 is a big difference in your environment (TB's of data), but then you went and proceeded to post this...
Try transferring a lot of little files through a home router (like I suspect the OP is) and see what type of speed you get.
So what is it? What are you using as your reference for performance here? I don't have enterprise equipment at home. Now, I'm not saying I have bottom of the barrel hardware too, but it's definitely not enterprise/corporate stuff.
In short, if you're not understanding what I'm trying to get at, a good NAS paired with a decent ethernet switch can give you the same performance as if you had a usb 3.0 drive hooked up to your computer. The only time where I can see substantial bottlenecking with gigabit ethernet transfer is the use of SSD's or multiple drives in RAID 0/5.