You fail to say how much oil is being burnt off. If you use a zero weight oil it will be consumed by the engine, it is the nature of the oil. Go to a ten weight oil it will help. And no it will not accelerate the engine wear enough for you to notice in the life of the car.

There's no magic in a can. It's burning oil because of a mechanical issue, and if it's happening after only 37,000 miles, it's a big issue; something has gone very wrong. Get it fixed before you end up with a damaged engine.

Hope it's still under warranty - the fix is likely to cost a fair bit of cash.

You can increase the viscosity of the engine oil, but that will also accelerate the wear...

No