I'm old. My first gaming experience was an Odyssey gaming system in the 1970s - one of those where you put a transparency over the TV screen and used a controller to move a blob of light around.
I only search out a DRM-free copy of a game if it's a game I know I want to hang onto. Most games I don't care to take extra precautions to preserve. I'm not an archivist. Hell, most games I play - even the ones I enjoy - I don't finish. Most games are too long. And most games aren't worth replaying. So, why would I want to go to such lengths to make sure I can keep them forever?
Mostly I shop around for the best price on a game I want to play.
A few games that I have played and replayed, loved for various reasons - I will search out a DRM-free copy and save a backup. That way I know that some day in the future when Steam has been raided by Interpol and all their servers shredded, I can still pull out my 50 year-old HDD and plug it into my offline Windows 7 machine that I keep cryogenically frozen in my underground fortress, and I can fire up my pre-Beamdog copy of Planescape: Torment augemented with similarly archived copies of the various gibberlings mods. And I will chain my teenage son to a chair beside me as I complete a high wisdom mage run with non-stop commentary - so that he is properly educated.