A lab grown diamond has the same properties as a diamond...it is a diamond. There are several companies making lab grown diamonds. They are less expensive than a diamond only because they are lab grown.
A moissanite is made with silicon carbide. It is very sparkly (some say too sparkly) and is very diamond like. It can be difficult to see the difference between a diamond or moissanite for most people. It is bought as an alternative to a diamond and less expensive than a lab grown diamond. There are different qualities of moissanite...the gold standard is now the Forever One by Charles & Colvard. Other companies carry the Forever One. The quality of moissanite has changed over the years and it is a diamond stimulant but a beauty in its own right. You can go to You Tube and see the difference between a Diamond, lab grown, and mossianite.
Diamonique is a CZ and the least expensive.