It is hard to guess what the cause is of the oil burning. It could just be foweled ring packs, whereby the lower oil control rings get stuck together with the intermediate compression/oil control ring and under perform, resulting in oil burning from not getting good ring to cylinder wall interaction. If this is the case then a simple Auto-Rx cleaning application will certainly free up the piston ring packs. Of coarse any of the rings are worn or cracked, then replacement is the only cure.
Oil burning can also occur from worn or gummed up valve stem seals. Again if the stem seals are severely worn or cracked, the only remedy is replacement. If the stem seals are the problem cleaning them can help correct the problem, or at least prevent them from getting any worse. Sometimes folks have had some luck on worn stem seals by running high mileage oil. However, for this to work well the contaminants need to be cleansed off first. These high mileage oils tend to swell seals. And it is important to swell the seal evenly, which is why you would want to clean the system first. I am not a big fan of using anything that swells seals and consider it to be the last hope.
Sometimes oil burning can be a result of a PCV valve not functioning, or whatever positive crankcase pressure release assembly your motor might have. This is something cheap and inexpensive to check out and repair if necessary.
My advise would be to run a cleaning and rinse application, just to be sure that dirt or contaminants arent the culprit for starters. Your level of oil burning is not in the critical zone yet.