If a product will stop oil burning depends on a lot of things. First and easiest fix is replacing the PCV valve with an OEM valve and making sure the PCV plumbing is not clogged up. That alone can be a major cause of oil use. Next is valve seals, if they're bad you'll use oil. The ring packs can be dirty, and sticking, if this is the case, MMO or Risoline can help. Rings, or valve guides can be bad, or other engine parts worn out. In this case a thicker oil might help.
Bottom line is in a few instances a simple PCV change or oil additive can help. For worn internal engine parts, no additive is going to fix broken parts or worn out parts. Thicker oil, or the addition of Schafffers #132, STP, Lucas, or Restore to name a few, might slow the oil use down but it will not fix the problem.