I'm going to disagree with the majority opinion I guess, but it also sort of depends on what you mean. If the strategy of "not losing" means you're just turtling up, all you're accomplishing is learning how to lose slower.
You aren't getting submitted at this stage because you're taking high risks that don't pay off, but because you're doing stupid things, ala pushing up on the chest from bottom mount, leaving your elbows wide open away from your ribs like you're doing the chicken dance, not protecting your neck, not knowing when your guard is passed, waiting too long to start the escape from bottom, leaving too much space on top, etc. As a white belt, you're going to do stupid things, because if you didn't, you wouldn't be a white belt.
Focusing on not doing stupid things is a better game plan than not focusing on not losing. Trying to work the escapes/reversals/reguarding/whatever, i.e., doing whatever you should be doing from the position you're in, gives you valuable data that will aid your progress down the road, until you've had the stupid beaten out of you (which is unavoidable, everyone gets beaten like a bongo drum by upper belts when they first start). Therefore, work the techniques you should be working at any given moment. It's great to learn to keep your elbows in, yea. But if you can't keep your elbows in white doing the escape, then it doesn't really matter, because you're never going to go anywhere, you know? And if doing the techniques correctly is "playing not to lose," then I guess we're in agreement then?
For example, bottom side control. You can either cinch up, and just lay there for the rest of the round, and see how long you can survive (limited, if any, purpose or growth). Try to fight off subs as they come. Never try to escape. Depending on how nice they are, they just start attacking. If they're mean, you get a shoulder of justice until you're forced to do something. You pose no threat of escape, so the top guy can just go HAM on attacks. As a defender, you have to defend 100% of attacks to not lose; an attacker only needs 1 successful attack to win. Eventually you aren't able to stop one of the attacks, you pay the piper. Tapped once in a five minute roll, but what the hell did you learn?
Conversely: bottom side control. You try to focus on the technical details (i.e., block the cross face, not flaring elbows wildly, using frames). Maybe you forget one and get punished. Tapped, but learn a valuable lesson. Probably back on bottom side control within a minute, so you get another opportunity to practice your escape. Maybe you try to shrimp, but they follow you. Shit. You'll have to figure out why you aren't escaping them later. Tapped again. Start over. Etc.
Which one seems like the better use of your time? You're going to hit these roadblocks of trying not to get submitted while doing your moves at some point anyway. May as well start now. Otherwise the only skill you're building is turtling up, and I don't really see any application for that in BJJ (other than being up on points and tryin to stall out the clock?), MMA, or self-defense.