It's helpful to differentiate the stones and diamonds types from Natural diamonds, lab grown diamonds, simulant diamonds, and birthstones.
Natural diamonds have their own benefits, while lab grown diamonds carry additional benefits like less prices but more varieties. Another side, the simulant diamonds are knowns as Moissanite, and CZ is the cheapest option to engrave in the engagement rings.
But, out of that, the lab grown diamonds are still the best option to choose in engagement rings.