I just encountered essentially the same problem with a new LaCie "USB 3.0" 3-terabyte d2 drive (part of their new "v3" series). Although it's called the "USB 3.0" drive, it actually has ports for eSata, USB 2.0, USB 3.0, and Firewire 800 -- I use Firewire 800.
The manual says you can turn off Eco Mode using the LaCie Desktop Manager. I want it turned off because I have several drives and waiting for them to spin up one by one every time I use my Mac is unacceptable. Desktop Manager's Eco tab has a single button that takes you to the Energy Saver pane of System Preferences, where I always have the 'Put the Hard Disk to Sleep..." option turned off. The manual says this will stop the drive from spinning down in Eco Mode.
Nevertheless, the drive always spins down after a few minutes of inactivity. Worse, it will NOT spin back up when I open the drive's window or drag a file onto it. Instead, it freezes the Finder so that I can do nothing on my Mac -- among other things, I can't drag the drive icon to the trash to dismount it. I have to turn the drive off using its power switch, which of course brings up an alert telling me that doing this might damage the drive and instead I should dismount it first -- and then the Finder comes back to life. According to Desktop Manager, I could also set up the button on the front of the drive so that pushing it will cause the drive to spin back up. I haven't bothered to try that because I am unwilling to have to turn my devices on and off by pushing hardware buttons all the time.
LaCie tech support just sent me a message telling me that the drive is designed so that you cannot turn off Eco Mode. That is directly inconsistent with the manual, so I assume tech support means that they still don't have the firmware in the drive working right. They released a firmware update in late August that supposedly fixes a wake/sleep problem, but reading between the lines of the tech support messages I received, that apparently relates only to a problem when your Mac goes to sleep -- I have mine set so that it never sleeps.
Bottom line: unless and until LaCie revises the firmware to allow the drive to keep spinning all the time -- as advertised -- this product is essentially unusable to me.