I'm sure sooner or later, whether I want to or not, I will be forced to go digital. They'll just stop making physical copies. But an example of where it was useful. I recently got the hankering for playing Kotor 1 & 2, and was able to dig out my copies and install. If I hadn't maintained them, I would have had to repurchase digital copies. If the gaming industry would allow us to download digital copies for those who own physical, I might be inclined to switch over.
But that's exactly the problem with physical copies. You can lose them. If you had ever had a digital copy of KotOR, this wouldn't have been an issue.
Note that EA lets you register your physical disks with Origin. Key in your Mass Effect code and it shows up like any other Origin game, free DLCs included. Beats fishing up a BDtS installer.
FWIW, I did a timed ME1 install via both methods. Over my ~19Mbps WiFi it was something like three times longer to install from Origin than from disk, though I did get the two DLCs with Origin and would have had to dredge them up separately if I wanted them.